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Finding the Third Proportional to 699,280 and 987,029

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Solution

The third proportional to 699,280 and 987,029 is: 1,393,184.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,280 : 987,029 = 987,029 : x
  2. Step 2: Convert to fraction form
    699,280/987,029 = 987,029/x
  3. Step 3: Cross multiply
    699,280x = 987,029 × 987,029
  4. Step 4: Simplify right side
    699,280x = 974,226,246,841
  5. Step 5: Solve for x
    x = 974,226,246,841/699,280
  6. Step 6: Final answer
    x = 1,393,184.77

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.