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Finding the Third Proportional to 658,564 and 993,040

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Solution

The third proportional to 658,564 and 993,040 is: 1,497,391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,564 : 993,040 = 993,040 : x
  2. Step 2: Convert to fraction form
    658,564/993,040 = 993,040/x
  3. Step 3: Cross multiply
    658,564x = 993,040 × 993,040
  4. Step 4: Simplify right side
    658,564x = 986,128,441,600
  5. Step 5: Solve for x
    x = 986,128,441,600/658,564
  6. Step 6: Final answer
    x = 1,497,391.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.