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Finding the Third Proportional to 130,742 and 282,220

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Solution

The third proportional to 130,742 and 282,220 is: 609,200.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,742 : 282,220 = 282,220 : x
  2. Step 2: Convert to fraction form
    130,742/282,220 = 282,220/x
  3. Step 3: Cross multiply
    130,742x = 282,220 × 282,220
  4. Step 4: Simplify right side
    130,742x = 79,648,128,400
  5. Step 5: Solve for x
    x = 79,648,128,400/130,742
  6. Step 6: Final answer
    x = 609,200.78

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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.