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Finding the Third Proportional to 907.31 and 2,156.91

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Solution

The third proportional to 907.31 and 2,156.91 is: 5,127.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.31 : 2,156.91 = 2,156.91 : x
  2. Step 2: Convert to fraction form
    907.31/2,156.91 = 2,156.91/x
  3. Step 3: Cross multiply
    907.31x = 2,156.91 × 2,156.91
  4. Step 4: Simplify right side
    907.31x = 4,652,244.57
  5. Step 5: Solve for x
    x = 4,652,244.57/907.31
  6. Step 6: Final answer
    x = 5,127.50

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.