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Finding the Third Proportional to 142,212.38 and 307,200.09

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Solution

The third proportional to 142,212.38 and 307,200.09 is: 663,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,212.38 : 307,200.09 = 307,200.09 : x
  2. Step 2: Convert to fraction form
    142,212.38/307,200.09 = 307,200.09/x
  3. Step 3: Cross multiply
    142,212.38x = 307,200.09 × 307,200.09
  4. Step 4: Simplify right side
    142,212.38x = 94,371,897,600.01
  5. Step 5: Solve for x
    x = 94,371,897,600.01/142,212.38
  6. Step 6: Final answer
    x = 663,598.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.