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Finding the Third Proportional to 328,409 and 709,210

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Solution

The third proportional to 328,409 and 709,210 is: 1,531,562.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,409 : 709,210 = 709,210 : x
  2. Step 2: Convert to fraction form
    328,409/709,210 = 709,210/x
  3. Step 3: Cross multiply
    328,409x = 709,210 × 709,210
  4. Step 4: Simplify right side
    328,409x = 502,978,824,100
  5. Step 5: Solve for x
    x = 502,978,824,100/328,409
  6. Step 6: Final answer
    x = 1,531,562.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.