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Finding the Third Proportional to 328,840 and 707,588

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Solution

The third proportional to 328,840 and 707,588 is: 1,522,566.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,840 : 707,588 = 707,588 : x
  2. Step 2: Convert to fraction form
    328,840/707,588 = 707,588/x
  3. Step 3: Cross multiply
    328,840x = 707,588 × 707,588
  4. Step 4: Simplify right side
    328,840x = 500,680,777,744
  5. Step 5: Solve for x
    x = 500,680,777,744/328,840
  6. Step 6: Final answer
    x = 1,522,566.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.