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Finding the Third Proportional to 130,772 and 282,280

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Solution

The third proportional to 130,772 and 282,280 is: 609,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,772 : 282,280 = 282,280 : x
  2. Step 2: Convert to fraction form
    130,772/282,280 = 282,280/x
  3. Step 3: Cross multiply
    130,772x = 282,280 × 282,280
  4. Step 4: Simplify right side
    130,772x = 79,681,998,400
  5. Step 5: Solve for x
    x = 79,681,998,400/130,772
  6. Step 6: Final answer
    x = 609,320.03

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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.