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Finding the Third Proportional to 142,458.75 and 211,492.13

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Solution

The third proportional to 142,458.75 and 211,492.13 is: 313,978.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,458.75 : 211,492.13 = 211,492.13 : x
  2. Step 2: Convert to fraction form
    142,458.75/211,492.13 = 211,492.13/x
  3. Step 3: Cross multiply
    142,458.75x = 211,492.13 × 211,492.13
  4. Step 4: Simplify right side
    142,458.75x = 44,728,918,937.02
  5. Step 5: Solve for x
    x = 44,728,918,937.02/142,458.75
  6. Step 6: Final answer
    x = 313,978.04

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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.