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Finding the Third Proportional to 257,066,538 and 391,623,372

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Solution

The third proportional to 257,066,538 and 391,623,372 is: 596,611,549.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,066,538 : 391,623,372 = 391,623,372 : x
  2. Step 2: Convert to fraction form
    257,066,538/391,623,372 = 391,623,372/x
  3. Step 3: Cross multiply
    257,066,538x = 391,623,372 × 391,623,372
  4. Step 4: Simplify right side
    257,066,538x = 153,368,865,496,650,368
  5. Step 5: Solve for x
    x = 153,368,865,496,650,368/257,066,538
  6. Step 6: Final answer
    x = 596,611,549.25

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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.