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Finding the Third Proportional to 221,425.13 and 312,026.25

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Solution

The third proportional to 221,425.13 and 312,026.25 is: 439,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,425.13 : 312,026.25 = 312,026.25 : x
  2. Step 2: Convert to fraction form
    221,425.13/312,026.25 = 312,026.25/x
  3. Step 3: Cross multiply
    221,425.13x = 312,026.25 × 312,026.25
  4. Step 4: Simplify right side
    221,425.13x = 97,360,380,689.06
  5. Step 5: Solve for x
    x = 97,360,380,689.06/221,425.13
  6. Step 6: Final answer
    x = 439,698.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.