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Finding the Third Proportional to 89,223.19 and 138,363.19

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Solution

The third proportional to 89,223.19 and 138,363.19 is: 214,567.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,223.19 : 138,363.19 = 138,363.19 : x
  2. Step 2: Convert to fraction form
    89,223.19/138,363.19 = 138,363.19/x
  3. Step 3: Cross multiply
    89,223.19x = 138,363.19 × 138,363.19
  4. Step 4: Simplify right side
    89,223.19x = 19,144,371,655.16
  5. Step 5: Solve for x
    x = 19,144,371,655.16/89,223.19
  6. Step 6: Final answer
    x = 214,567.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.