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Finding the Third Proportional to 187,639.50 and 403,776

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Solution

The third proportional to 187,639.50 and 403,776 is: 868,873.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,639.50 : 403,776 = 403,776 : x
  2. Step 2: Convert to fraction form
    187,639.50/403,776 = 403,776/x
  3. Step 3: Cross multiply
    187,639.50x = 403,776 × 403,776
  4. Step 4: Simplify right side
    187,639.50x = 163,035,058,176
  5. Step 5: Solve for x
    x = 163,035,058,176/187,639.50
  6. Step 6: Final answer
    x = 868,873.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.