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Finding the Third Proportional to 128,580 and 282,069

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Solution

The third proportional to 128,580 and 282,069 is: 618,781.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,580 : 282,069 = 282,069 : x
  2. Step 2: Convert to fraction form
    128,580/282,069 = 282,069/x
  3. Step 3: Cross multiply
    128,580x = 282,069 × 282,069
  4. Step 4: Simplify right side
    128,580x = 79,562,920,761
  5. Step 5: Solve for x
    x = 79,562,920,761/128,580
  6. Step 6: Final answer
    x = 618,781.46

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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.