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Finding the Third Proportional to 149,484 and 328,506

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Solution

The third proportional to 149,484 and 328,506 is: 721,924.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,484 : 328,506 = 328,506 : x
  2. Step 2: Convert to fraction form
    149,484/328,506 = 328,506/x
  3. Step 3: Cross multiply
    149,484x = 328,506 × 328,506
  4. Step 4: Simplify right side
    149,484x = 107,916,192,036
  5. Step 5: Solve for x
    x = 107,916,192,036/149,484
  6. Step 6: Final answer
    x = 721,924.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.