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Finding the Third Proportional to 328,006.50 and 710,418

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Solution

The third proportional to 328,006.50 and 710,418 is: 1,538,669.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,006.50 : 710,418 = 710,418 : x
  2. Step 2: Convert to fraction form
    328,006.50/710,418 = 710,418/x
  3. Step 3: Cross multiply
    328,006.50x = 710,418 × 710,418
  4. Step 4: Simplify right side
    328,006.50x = 504,693,734,724
  5. Step 5: Solve for x
    x = 504,693,734,724/328,006.50
  6. Step 6: Final answer
    x = 1,538,669.92

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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.