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Finding the Third Proportional to 130,692 and 282,984

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Solution

The third proportional to 130,692 and 282,984 is: 612,737.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,692 : 282,984 = 282,984 : x
  2. Step 2: Convert to fraction form
    130,692/282,984 = 282,984/x
  3. Step 3: Cross multiply
    130,692x = 282,984 × 282,984
  4. Step 4: Simplify right side
    130,692x = 80,079,944,256
  5. Step 5: Solve for x
    x = 80,079,944,256/130,692
  6. Step 6: Final answer
    x = 612,737.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.