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Finding the Third Proportional to 144,099 and 212,419.13

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Solution

The third proportional to 144,099 and 212,419.13 is: 313,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,099 : 212,419.13 = 212,419.13 : x
  2. Step 2: Convert to fraction form
    144,099/212,419.13 = 212,419.13/x
  3. Step 3: Cross multiply
    144,099x = 212,419.13 × 212,419.13
  4. Step 4: Simplify right side
    144,099x = 45,121,884,665.77
  5. Step 5: Solve for x
    x = 45,121,884,665.77/144,099
  6. Step 6: Final answer
    x = 313,131.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.