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Finding the Third Proportional to 168,802.50 and 258,823.88

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Solution

The third proportional to 168,802.50 and 258,823.88 is: 396,853.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,802.50 : 258,823.88 = 258,823.88 : x
  2. Step 2: Convert to fraction form
    168,802.50/258,823.88 = 258,823.88/x
  3. Step 3: Cross multiply
    168,802.50x = 258,823.88 × 258,823.88
  4. Step 4: Simplify right side
    168,802.50x = 66,989,798,270.02
  5. Step 5: Solve for x
    x = 66,989,798,270.02/168,802.50
  6. Step 6: Final answer
    x = 396,853.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.