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Finding the Third Proportional to 257,003,548 and 391,528,324

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Solution

The third proportional to 257,003,548 and 391,528,324 is: 596,468,140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,003,548 : 391,528,324 = 391,528,324 : x
  2. Step 2: Convert to fraction form
    257,003,548/391,528,324 = 391,528,324/x
  3. Step 3: Cross multiply
    257,003,548x = 391,528,324 × 391,528,324
  4. Step 4: Simplify right side
    257,003,548x = 153,294,428,494,248,960
  5. Step 5: Solve for x
    x = 153,294,428,494,248,960/257,003,548
  6. Step 6: Final answer
    x = 596,468,140.95

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.