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Finding the Third Proportional to 646,008 and 991,605

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Solution

The third proportional to 646,008 and 991,605 is: 1,522,087.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,008 : 991,605 = 991,605 : x
  2. Step 2: Convert to fraction form
    646,008/991,605 = 991,605/x
  3. Step 3: Cross multiply
    646,008x = 991,605 × 991,605
  4. Step 4: Simplify right side
    646,008x = 983,280,476,025
  5. Step 5: Solve for x
    x = 983,280,476,025/646,008
  6. Step 6: Final answer
    x = 1,522,087.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.