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Finding the Third Proportional to 144,640.13 and 216,820.13

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Solution

The third proportional to 144,640.13 and 216,820.13 is: 325,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,640.13 : 216,820.13 = 216,820.13 : x
  2. Step 2: Convert to fraction form
    144,640.13/216,820.13 = 216,820.13/x
  3. Step 3: Cross multiply
    144,640.13x = 216,820.13 × 216,820.13
  4. Step 4: Simplify right side
    144,640.13x = 47,010,966,605.02
  5. Step 5: Solve for x
    x = 47,010,966,605.02/144,640.13
  6. Step 6: Final answer
    x = 325,020.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.