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Finding the Third Proportional to 658,068 and 991,966

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Solution

The third proportional to 658,068 and 991,966 is: 1,495,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,068 : 991,966 = 991,966 : x
  2. Step 2: Convert to fraction form
    658,068/991,966 = 991,966/x
  3. Step 3: Cross multiply
    658,068x = 991,966 × 991,966
  4. Step 4: Simplify right side
    658,068x = 983,996,545,156
  5. Step 5: Solve for x
    x = 983,996,545,156/658,068
  6. Step 6: Final answer
    x = 1,495,280.95

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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.