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Finding the Third Proportional to 256,866.38 and 557,503.13

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Solution

The third proportional to 256,866.38 and 557,503.13 is: 1,210,005.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,866.38 : 557,503.13 = 557,503.13 : x
  2. Step 2: Convert to fraction form
    256,866.38/557,503.13 = 557,503.13/x
  3. Step 3: Cross multiply
    256,866.38x = 557,503.13 × 557,503.13
  4. Step 4: Simplify right side
    256,866.38x = 310,809,734,384.77
  5. Step 5: Solve for x
    x = 310,809,734,384.77/256,866.38
  6. Step 6: Final answer
    x = 1,210,005.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.