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Finding the Third Proportional to 142,615.13 and 211,735.13

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Solution

The third proportional to 142,615.13 and 211,735.13 is: 314,354.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,615.13 : 211,735.13 = 211,735.13 : x
  2. Step 2: Convert to fraction form
    142,615.13/211,735.13 = 211,735.13/x
  3. Step 3: Cross multiply
    142,615.13x = 211,735.13 × 211,735.13
  4. Step 4: Simplify right side
    142,615.13x = 44,831,763,158.77
  5. Step 5: Solve for x
    x = 44,831,763,158.77/142,615.13
  6. Step 6: Final answer
    x = 314,354.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.