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Finding the Third Proportional to 489,159 and 652,272.75

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Solution

The third proportional to 489,159 and 652,272.75 is: 869,778.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,159 : 652,272.75 = 652,272.75 : x
  2. Step 2: Convert to fraction form
    489,159/652,272.75 = 652,272.75/x
  3. Step 3: Cross multiply
    489,159x = 652,272.75 × 652,272.75
  4. Step 4: Simplify right side
    489,159x = 425,459,740,392.56
  5. Step 5: Solve for x
    x = 425,459,740,392.56/489,159
  6. Step 6: Final answer
    x = 869,778.01

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.