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Finding the Third Proportional to 257,686,272 and 390,280,356

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Solution

The third proportional to 257,686,272 and 390,280,356 is: 591,101,555.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,686,272 : 390,280,356 = 390,280,356 : x
  2. Step 2: Convert to fraction form
    257,686,272/390,280,356 = 390,280,356/x
  3. Step 3: Cross multiply
    257,686,272x = 390,280,356 × 390,280,356
  4. Step 4: Simplify right side
    257,686,272x = 152,318,756,279,486,720
  5. Step 5: Solve for x
    x = 152,318,756,279,486,720/257,686,272
  6. Step 6: Final answer
    x = 591,101,555.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.