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Finding the Third Proportional to 297,324 and 452,956.50

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Solution

The third proportional to 297,324 and 452,956.50 is: 690,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,324 : 452,956.50 = 452,956.50 : x
  2. Step 2: Convert to fraction form
    297,324/452,956.50 = 452,956.50/x
  3. Step 3: Cross multiply
    297,324x = 452,956.50 × 452,956.50
  4. Step 4: Simplify right side
    297,324x = 205,169,590,892.25
  5. Step 5: Solve for x
    x = 205,169,590,892.25/297,324
  6. Step 6: Final answer
    x = 690,053.92

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.