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Finding the Third Proportional to 637,840 and 987,000

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Solution

The third proportional to 637,840 and 987,000 is: 1,527,293.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,840 : 987,000 = 987,000 : x
  2. Step 2: Convert to fraction form
    637,840/987,000 = 987,000/x
  3. Step 3: Cross multiply
    637,840x = 987,000 × 987,000
  4. Step 4: Simplify right side
    637,840x = 974,169,000,000
  5. Step 5: Solve for x
    x = 974,169,000,000/637,840
  6. Step 6: Final answer
    x = 1,527,293.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.