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Finding the Third Proportional to 256,053 and 387,616.50

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Solution

The third proportional to 256,053 and 387,616.50 is: 586,779.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,053 : 387,616.50 = 387,616.50 : x
  2. Step 2: Convert to fraction form
    256,053/387,616.50 = 387,616.50/x
  3. Step 3: Cross multiply
    256,053x = 387,616.50 × 387,616.50
  4. Step 4: Simplify right side
    256,053x = 150,246,551,072.25
  5. Step 5: Solve for x
    x = 150,246,551,072.25/256,053
  6. Step 6: Final answer
    x = 586,779.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.