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Finding the Third Proportional to 257,003,498 and 391,528,245

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Solution

The third proportional to 257,003,498 and 391,528,245 is: 596,468,016.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,003,498 : 391,528,245 = 391,528,245 : x
  2. Step 2: Convert to fraction form
    257,003,498/391,528,245 = 391,528,245/x
  3. Step 3: Cross multiply
    257,003,498x = 391,528,245 × 391,528,245
  4. Step 4: Simplify right side
    257,003,498x = 153,294,366,632,780,032
  5. Step 5: Solve for x
    x = 153,294,366,632,780,032/257,003,498
  6. Step 6: Final answer
    x = 596,468,016.29

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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.