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Finding the Third Proportional to 296,729 and 642,700

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Solution

The third proportional to 296,729 and 642,700 is: 1,392,055.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,729 : 642,700 = 642,700 : x
  2. Step 2: Convert to fraction form
    296,729/642,700 = 642,700/x
  3. Step 3: Cross multiply
    296,729x = 642,700 × 642,700
  4. Step 4: Simplify right side
    296,729x = 413,063,290,000
  5. Step 5: Solve for x
    x = 413,063,290,000/296,729
  6. Step 6: Final answer
    x = 1,392,055.68

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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.