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Finding the Third Proportional to 328,656 and 707,128

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Solution

The third proportional to 328,656 and 707,128 is: 1,521,438.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,656 : 707,128 = 707,128 : x
  2. Step 2: Convert to fraction form
    328,656/707,128 = 707,128/x
  3. Step 3: Cross multiply
    328,656x = 707,128 × 707,128
  4. Step 4: Simplify right side
    328,656x = 500,030,008,384
  5. Step 5: Solve for x
    x = 500,030,008,384/328,656
  6. Step 6: Final answer
    x = 1,521,438.86

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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.