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Finding the Third Proportional to 689,420,125.50 and 1,031,687,532

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Solution

The third proportional to 689,420,125.50 and 1,031,687,532 is: 1,543,875,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,420,125.50 : 1,031,687,532 = 1,031,687,532 : x
  2. Step 2: Convert to fraction form
    689,420,125.50/1,031,687,532 = 1,031,687,532/x
  3. Step 3: Cross multiply
    689,420,125.50x = 1,031,687,532 × 1,031,687,532
  4. Step 4: Simplify right side
    689,420,125.50x = 1,064,379,163,684,251,008
  5. Step 5: Solve for x
    x = 1,064,379,163,684,251,008/689,420,125.50
  6. Step 6: Final answer
    x = 1,543,875,968.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.