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Finding the Third Proportional to 642,221 and 1,411,564

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Solution

The third proportional to 642,221 and 1,411,564 is: 3,102,534.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,221 : 1,411,564 = 1,411,564 : x
  2. Step 2: Convert to fraction form
    642,221/1,411,564 = 1,411,564/x
  3. Step 3: Cross multiply
    642,221x = 1,411,564 × 1,411,564
  4. Step 4: Simplify right side
    642,221x = 1,992,512,926,096
  5. Step 5: Solve for x
    x = 1,992,512,926,096/642,221
  6. Step 6: Final answer
    x = 3,102,534.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.