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Finding the Third Proportional to 129,017 and 282,820

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Solution

The third proportional to 129,017 and 282,820 is: 619,973.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,017 : 282,820 = 282,820 : x
  2. Step 2: Convert to fraction form
    129,017/282,820 = 282,820/x
  3. Step 3: Cross multiply
    129,017x = 282,820 × 282,820
  4. Step 4: Simplify right side
    129,017x = 79,987,152,400
  5. Step 5: Solve for x
    x = 79,987,152,400/129,017
  6. Step 6: Final answer
    x = 619,973.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.