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Finding the Third Proportional to 287,744 and 450,432

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Solution

The third proportional to 287,744 and 450,432 is: 705,102.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,744 : 450,432 = 450,432 : x
  2. Step 2: Convert to fraction form
    287,744/450,432 = 450,432/x
  3. Step 3: Cross multiply
    287,744x = 450,432 × 450,432
  4. Step 4: Simplify right side
    287,744x = 202,888,986,624
  5. Step 5: Solve for x
    x = 202,888,986,624/287,744
  6. Step 6: Final answer
    x = 705,102.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.