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Finding the Third Proportional to 542,069,467 and 731,378,979

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Solution

The third proportional to 542,069,467 and 731,378,979 is: 986,801,957.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,069,467 : 731,378,979 = 731,378,979 : x
  2. Step 2: Convert to fraction form
    542,069,467/731,378,979 = 731,378,979/x
  3. Step 3: Cross multiply
    542,069,467x = 731,378,979 × 731,378,979
  4. Step 4: Simplify right side
    542,069,467x = 534,915,210,923,082,432
  5. Step 5: Solve for x
    x = 534,915,210,923,082,432/542,069,467
  6. Step 6: Final answer
    x = 986,801,957.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.