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Finding the Third Proportional to 142,608.09 and 305,461.13

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Solution

The third proportional to 142,608.09 and 305,461.13 is: 654,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,608.09 : 305,461.13 = 305,461.13 : x
  2. Step 2: Convert to fraction form
    142,608.09/305,461.13 = 305,461.13/x
  3. Step 3: Cross multiply
    142,608.09x = 305,461.13 × 305,461.13
  4. Step 4: Simplify right side
    142,608.09x = 93,306,498,886.27
  5. Step 5: Solve for x
    x = 93,306,498,886.27/142,608.09
  6. Step 6: Final answer
    x = 654,286.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.