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Finding the Third Proportional to 328,402 and 707,468

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Solution

The third proportional to 328,402 and 707,468 is: 1,524,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,402 : 707,468 = 707,468 : x
  2. Step 2: Convert to fraction form
    328,402/707,468 = 707,468/x
  3. Step 3: Cross multiply
    328,402x = 707,468 × 707,468
  4. Step 4: Simplify right side
    328,402x = 500,510,971,024
  5. Step 5: Solve for x
    x = 500,510,971,024/328,402
  6. Step 6: Final answer
    x = 1,524,080.15

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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.