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Finding the Third Proportional to 291,976.31 and 392,855.06

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Solution

The third proportional to 291,976.31 and 392,855.06 is: 528,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,976.31 : 392,855.06 = 392,855.06 : x
  2. Step 2: Convert to fraction form
    291,976.31/392,855.06 = 392,855.06/x
  3. Step 3: Cross multiply
    291,976.31x = 392,855.06 × 392,855.06
  4. Step 4: Simplify right side
    291,976.31x = 154,335,100,131.88
  5. Step 5: Solve for x
    x = 154,335,100,131.88/291,976.31
  6. Step 6: Final answer
    x = 528,587.74

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.