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Finding the Third Proportional to 328,427 and 710,830

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Solution

The third proportional to 328,427 and 710,830 is: 1,538,482.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,427 : 710,830 = 710,830 : x
  2. Step 2: Convert to fraction form
    328,427/710,830 = 710,830/x
  3. Step 3: Cross multiply
    328,427x = 710,830 × 710,830
  4. Step 4: Simplify right side
    328,427x = 505,279,288,900
  5. Step 5: Solve for x
    x = 505,279,288,900/328,427
  6. Step 6: Final answer
    x = 1,538,482.79

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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.