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Finding the Third Proportional to 180,870.75 and 392,870.25

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Solution

The third proportional to 180,870.75 and 392,870.25 is: 853,355.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,870.75 : 392,870.25 = 392,870.25 : x
  2. Step 2: Convert to fraction form
    180,870.75/392,870.25 = 392,870.25/x
  3. Step 3: Cross multiply
    180,870.75x = 392,870.25 × 392,870.25
  4. Step 4: Simplify right side
    180,870.75x = 154,347,033,335.06
  5. Step 5: Solve for x
    x = 154,347,033,335.06/180,870.75
  6. Step 6: Final answer
    x = 853,355.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.