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Finding the Third Proportional to 328,972 and 707,840

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Solution

The third proportional to 328,972 and 707,840 is: 1,523,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,972 : 707,840 = 707,840 : x
  2. Step 2: Convert to fraction form
    328,972/707,840 = 707,840/x
  3. Step 3: Cross multiply
    328,972x = 707,840 × 707,840
  4. Step 4: Simplify right side
    328,972x = 501,037,465,600
  5. Step 5: Solve for x
    x = 501,037,465,600/328,972
  6. Step 6: Final answer
    x = 1,523,039.85

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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.