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Finding the Third Proportional to 215,077.78 and 316,376.03

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Solution

The third proportional to 215,077.78 and 316,376.03 is: 465,384.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,077.78 : 316,376.03 = 316,376.03 : x
  2. Step 2: Convert to fraction form
    215,077.78/316,376.03 = 316,376.03/x
  3. Step 3: Cross multiply
    215,077.78x = 316,376.03 × 316,376.03
  4. Step 4: Simplify right side
    215,077.78x = 100,093,794,385.34
  5. Step 5: Solve for x
    x = 100,093,794,385.34/215,077.78
  6. Step 6: Final answer
    x = 465,384.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.