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Finding the Third Proportional to 130,174,470 and 278,003,286

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Solution

The third proportional to 130,174,470 and 278,003,286 is: 593,709,557.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,174,470 : 278,003,286 = 278,003,286 : x
  2. Step 2: Convert to fraction form
    130,174,470/278,003,286 = 278,003,286/x
  3. Step 3: Cross multiply
    130,174,470x = 278,003,286 × 278,003,286
  4. Step 4: Simplify right side
    130,174,470x = 77,285,827,026,797,792
  5. Step 5: Solve for x
    x = 77,285,827,026,797,792/130,174,470
  6. Step 6: Final answer
    x = 593,709,557.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.