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Finding the Third Proportional to 328,389 and 707,437

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Solution

The third proportional to 328,389 and 707,437 is: 1,524,006.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,389 : 707,437 = 707,437 : x
  2. Step 2: Convert to fraction form
    328,389/707,437 = 707,437/x
  3. Step 3: Cross multiply
    328,389x = 707,437 × 707,437
  4. Step 4: Simplify right side
    328,389x = 500,467,108,969
  5. Step 5: Solve for x
    x = 500,467,108,969/328,389
  6. Step 6: Final answer
    x = 1,524,006.92

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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.