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Finding the Third Proportional to 130,972 and 282,809

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Solution

The third proportional to 130,972 and 282,809 is: 610,671.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,972 : 282,809 = 282,809 : x
  2. Step 2: Convert to fraction form
    130,972/282,809 = 282,809/x
  3. Step 3: Cross multiply
    130,972x = 282,809 × 282,809
  4. Step 4: Simplify right side
    130,972x = 79,980,930,481
  5. Step 5: Solve for x
    x = 79,980,930,481/130,972
  6. Step 6: Final answer
    x = 610,671.98

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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.