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Finding the Third Proportional to 328,946 and 717,387

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Solution

The third proportional to 328,946 and 717,387 is: 1,564,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,946 : 717,387 = 717,387 : x
  2. Step 2: Convert to fraction form
    328,946/717,387 = 717,387/x
  3. Step 3: Cross multiply
    328,946x = 717,387 × 717,387
  4. Step 4: Simplify right side
    328,946x = 514,644,107,769
  5. Step 5: Solve for x
    x = 514,644,107,769/328,946
  6. Step 6: Final answer
    x = 1,564,524.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.