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Finding the Third Proportional to 328,440 and 710,860

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Solution

The third proportional to 328,440 and 710,860 is: 1,538,551.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,440 : 710,860 = 710,860 : x
  2. Step 2: Convert to fraction form
    328,440/710,860 = 710,860/x
  3. Step 3: Cross multiply
    328,440x = 710,860 × 710,860
  4. Step 4: Simplify right side
    328,440x = 505,321,939,600
  5. Step 5: Solve for x
    x = 505,321,939,600/328,440
  6. Step 6: Final answer
    x = 1,538,551.76

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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.