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Finding the Third Proportional to 232,462,062,150 and 360,932,169,256

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Solution

The third proportional to 232,462,062,150 and 360,932,169,256 is: 560,401,252,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,462,062,150 : 360,932,169,256 = 360,932,169,256 : x
  2. Step 2: Convert to fraction form
    232,462,062,150/360,932,169,256 = 360,932,169,256/x
  3. Step 3: Cross multiply
    232,462,062,150x = 360,932,169,256 × 360,932,169,256
  4. Step 4: Simplify right side
    232,462,062,150x = 130,272,030,803,841,838,481,408
  5. Step 5: Solve for x
    x = 130,272,030,803,841,838,481,408/232,462,062,150
  6. Step 6: Final answer
    x = 560,401,252,569.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.