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Finding the Third Proportional to 296,706 and 642,660

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Solution

The third proportional to 296,706 and 642,660 is: 1,391,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,706 : 642,660 = 642,660 : x
  2. Step 2: Convert to fraction form
    296,706/642,660 = 642,660/x
  3. Step 3: Cross multiply
    296,706x = 642,660 × 642,660
  4. Step 4: Simplify right side
    296,706x = 413,011,875,600
  5. Step 5: Solve for x
    x = 413,011,875,600/296,706
  6. Step 6: Final answer
    x = 1,391,990.31

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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.