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Finding the Third Proportional to 136,216.13 and 212,603.63

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Solution

The third proportional to 136,216.13 and 212,603.63 is: 331,827.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,216.13 : 212,603.63 = 212,603.63 : x
  2. Step 2: Convert to fraction form
    136,216.13/212,603.63 = 212,603.63/x
  3. Step 3: Cross multiply
    136,216.13x = 212,603.63 × 212,603.63
  4. Step 4: Simplify right side
    136,216.13x = 45,200,301,363.14
  5. Step 5: Solve for x
    x = 45,200,301,363.14/136,216.13
  6. Step 6: Final answer
    x = 331,827.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.