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Finding the Third Proportional to 142,975.13 and 282,362.20

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Solution

The third proportional to 142,975.13 and 282,362.20 is: 557,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,975.13 : 282,362.20 = 282,362.20 : x
  2. Step 2: Convert to fraction form
    142,975.13/282,362.20 = 282,362.20/x
  3. Step 3: Cross multiply
    142,975.13x = 282,362.20 × 282,362.20
  4. Step 4: Simplify right side
    142,975.13x = 79,728,413,753.60
  5. Step 5: Solve for x
    x = 79,728,413,753.60/142,975.13
  6. Step 6: Final answer
    x = 557,638.36

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.