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Finding the Third Proportional to 287,750 and 450,078

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Solution

The third proportional to 287,750 and 450,078 is: 703,979.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,750 : 450,078 = 450,078 : x
  2. Step 2: Convert to fraction form
    287,750/450,078 = 450,078/x
  3. Step 3: Cross multiply
    287,750x = 450,078 × 450,078
  4. Step 4: Simplify right side
    287,750x = 202,570,206,084
  5. Step 5: Solve for x
    x = 202,570,206,084/287,750
  6. Step 6: Final answer
    x = 703,979.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.