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Finding the Third Proportional to 461,664 and 690,656

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Solution

The third proportional to 461,664 and 690,656 is: 1,033,231.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,664 : 690,656 = 690,656 : x
  2. Step 2: Convert to fraction form
    461,664/690,656 = 690,656/x
  3. Step 3: Cross multiply
    461,664x = 690,656 × 690,656
  4. Step 4: Simplify right side
    461,664x = 477,005,710,336
  5. Step 5: Solve for x
    x = 477,005,710,336/461,664
  6. Step 6: Final answer
    x = 1,033,231.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.