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Finding the Third Proportional to 91,156.01 and 144,226.20

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Solution

The third proportional to 91,156.01 and 144,226.20 is: 228,193.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,156.01 : 144,226.20 = 144,226.20 : x
  2. Step 2: Convert to fraction form
    91,156.01/144,226.20 = 144,226.20/x
  3. Step 3: Cross multiply
    91,156.01x = 144,226.20 × 144,226.20
  4. Step 4: Simplify right side
    91,156.01x = 20,801,195,414.32
  5. Step 5: Solve for x
    x = 20,801,195,414.32/91,156.01
  6. Step 6: Final answer
    x = 228,193.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.