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Finding the Third Proportional to 243,172 and 363,784

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Solution

The third proportional to 243,172 and 363,784 is: 544,218.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,172 : 363,784 = 363,784 : x
  2. Step 2: Convert to fraction form
    243,172/363,784 = 363,784/x
  3. Step 3: Cross multiply
    243,172x = 363,784 × 363,784
  4. Step 4: Simplify right side
    243,172x = 132,338,798,656
  5. Step 5: Solve for x
    x = 132,338,798,656/243,172
  6. Step 6: Final answer
    x = 544,218.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.