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Finding the Third Proportional to 296,708 and 642,664

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Solution

The third proportional to 296,708 and 642,664 is: 1,391,998.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,708 : 642,664 = 642,664 : x
  2. Step 2: Convert to fraction form
    296,708/642,664 = 642,664/x
  3. Step 3: Cross multiply
    296,708x = 642,664 × 642,664
  4. Step 4: Simplify right side
    296,708x = 413,017,016,896
  5. Step 5: Solve for x
    x = 413,017,016,896/296,708
  6. Step 6: Final answer
    x = 1,391,998.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.