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Finding the Third Proportional to 477.77 and 1,013.45

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Solution

The third proportional to 477.77 and 1,013.45 is: 2,149.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.77 : 1,013.45 = 1,013.45 : x
  2. Step 2: Convert to fraction form
    477.77/1,013.45 = 1,013.45/x
  3. Step 3: Cross multiply
    477.77x = 1,013.45 × 1,013.45
  4. Step 4: Simplify right side
    477.77x = 1,027,079.32
  5. Step 5: Solve for x
    x = 1,027,079.32/477.77
  6. Step 6: Final answer
    x = 2,149.72

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.