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Finding the Third Proportional to 187,144 and 287,657

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Solution

The third proportional to 187,144 and 287,657 is: 442,154.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,144 : 287,657 = 287,657 : x
  2. Step 2: Convert to fraction form
    187,144/287,657 = 287,657/x
  3. Step 3: Cross multiply
    187,144x = 287,657 × 287,657
  4. Step 4: Simplify right side
    187,144x = 82,746,549,649
  5. Step 5: Solve for x
    x = 82,746,549,649/187,144
  6. Step 6: Final answer
    x = 442,154.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.