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Finding the Third Proportional to 687,754,876 and 1,510,621,008

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Solution

The third proportional to 687,754,876 and 1,510,621,008 is: 3,318,007,489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,754,876 : 1,510,621,008 = 1,510,621,008 : x
  2. Step 2: Convert to fraction form
    687,754,876/1,510,621,008 = 1,510,621,008/x
  3. Step 3: Cross multiply
    687,754,876x = 1,510,621,008 × 1,510,621,008
  4. Step 4: Simplify right side
    687,754,876x = 2,281,975,829,810,936,064
  5. Step 5: Solve for x
    x = 2,281,975,829,810,936,064/687,754,876
  6. Step 6: Final answer
    x = 3,318,007,489.94

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.