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Finding the Third Proportional to 623,949 and 987,142

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Solution

The third proportional to 623,949 and 987,142 is: 1,561,745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,949 : 987,142 = 987,142 : x
  2. Step 2: Convert to fraction form
    623,949/987,142 = 987,142/x
  3. Step 3: Cross multiply
    623,949x = 987,142 × 987,142
  4. Step 4: Simplify right side
    623,949x = 974,449,328,164
  5. Step 5: Solve for x
    x = 974,449,328,164/623,949
  6. Step 6: Final answer
    x = 1,561,745.16

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.