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Finding the Third Proportional to 84,210.75 and 180,090

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Solution

The third proportional to 84,210.75 and 180,090 is: 385,133.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,210.75 : 180,090 = 180,090 : x
  2. Step 2: Convert to fraction form
    84,210.75/180,090 = 180,090/x
  3. Step 3: Cross multiply
    84,210.75x = 180,090 × 180,090
  4. Step 4: Simplify right side
    84,210.75x = 32,432,408,100
  5. Step 5: Solve for x
    x = 32,432,408,100/84,210.75
  6. Step 6: Final answer
    x = 385,133.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.