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Finding the Third Proportional to 187,145 and 287,658

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Solution

The third proportional to 187,145 and 287,658 is: 442,155.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,145 : 287,658 = 287,658 : x
  2. Step 2: Convert to fraction form
    187,145/287,658 = 287,658/x
  3. Step 3: Cross multiply
    187,145x = 287,658 × 287,658
  4. Step 4: Simplify right side
    187,145x = 82,747,124,964
  5. Step 5: Solve for x
    x = 82,747,124,964/187,145
  6. Step 6: Final answer
    x = 442,155.15

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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.