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Finding the Third Proportional to 328,416 and 710,810

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Solution

The third proportional to 328,416 and 710,810 is: 1,538,447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,416 : 710,810 = 710,810 : x
  2. Step 2: Convert to fraction form
    328,416/710,810 = 710,810/x
  3. Step 3: Cross multiply
    328,416x = 710,810 × 710,810
  4. Step 4: Simplify right side
    328,416x = 505,250,856,100
  5. Step 5: Solve for x
    x = 505,250,856,100/328,416
  6. Step 6: Final answer
    x = 1,538,447.75

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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.