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Finding the Third Proportional to 328,418 and 710,814

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Solution

The third proportional to 328,418 and 710,814 is: 1,538,455.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,418 : 710,814 = 710,814 : x
  2. Step 2: Convert to fraction form
    328,418/710,814 = 710,814/x
  3. Step 3: Cross multiply
    328,418x = 710,814 × 710,814
  4. Step 4: Simplify right side
    328,418x = 505,256,542,596
  5. Step 5: Solve for x
    x = 505,256,542,596/328,418
  6. Step 6: Final answer
    x = 1,538,455.70

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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.