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Finding the Third Proportional to 288,639 and 453,384

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Solution

The third proportional to 288,639 and 453,384 is: 712,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,639 : 453,384 = 453,384 : x
  2. Step 2: Convert to fraction form
    288,639/453,384 = 453,384/x
  3. Step 3: Cross multiply
    288,639x = 453,384 × 453,384
  4. Step 4: Simplify right side
    288,639x = 205,557,051,456
  5. Step 5: Solve for x
    x = 205,557,051,456/288,639
  6. Step 6: Final answer
    x = 712,159.66

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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.