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Finding the Third Proportional to 658,066 and 991,963

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Solution

The third proportional to 658,066 and 991,963 is: 1,495,276.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,066 : 991,963 = 991,963 : x
  2. Step 2: Convert to fraction form
    658,066/991,963 = 991,963/x
  3. Step 3: Cross multiply
    658,066x = 991,963 × 991,963
  4. Step 4: Simplify right side
    658,066x = 983,990,593,369
  5. Step 5: Solve for x
    x = 983,990,593,369/658,066
  6. Step 6: Final answer
    x = 1,495,276.45

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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.