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Finding the Third Proportional to 658,086 and 991,986

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Solution

The third proportional to 658,086 and 991,986 is: 1,495,300.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,086 : 991,986 = 991,986 : x
  2. Step 2: Convert to fraction form
    658,086/991,986 = 991,986/x
  3. Step 3: Cross multiply
    658,086x = 991,986 × 991,986
  4. Step 4: Simplify right side
    658,086x = 984,036,224,196
  5. Step 5: Solve for x
    x = 984,036,224,196/658,086
  6. Step 6: Final answer
    x = 1,495,300.35

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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.