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Finding the Third Proportional to 248,966,460 and 400,021,254

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Solution

The third proportional to 248,966,460 and 400,021,254 is: 642,725,143.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,966,460 : 400,021,254 = 400,021,254 : x
  2. Step 2: Convert to fraction form
    248,966,460/400,021,254 = 400,021,254/x
  3. Step 3: Cross multiply
    248,966,460x = 400,021,254 × 400,021,254
  4. Step 4: Simplify right side
    248,966,460x = 160,017,003,651,732,512
  5. Step 5: Solve for x
    x = 160,017,003,651,732,512/248,966,460
  6. Step 6: Final answer
    x = 642,725,143.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.