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Finding the Third Proportional to 256,187.81 and 382,887

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Solution

The third proportional to 256,187.81 and 382,887 is: 572,246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,187.81 : 382,887 = 382,887 : x
  2. Step 2: Convert to fraction form
    256,187.81/382,887 = 382,887/x
  3. Step 3: Cross multiply
    256,187.81x = 382,887 × 382,887
  4. Step 4: Simplify right side
    256,187.81x = 146,602,454,769
  5. Step 5: Solve for x
    x = 146,602,454,769/256,187.81
  6. Step 6: Final answer
    x = 572,246.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.