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Finding the Third Proportional to 180,120 and 390,762

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Solution

The third proportional to 180,120 and 390,762 is: 847,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,120 : 390,762 = 390,762 : x
  2. Step 2: Convert to fraction form
    180,120/390,762 = 390,762/x
  3. Step 3: Cross multiply
    180,120x = 390,762 × 390,762
  4. Step 4: Simplify right side
    180,120x = 152,694,940,644
  5. Step 5: Solve for x
    x = 152,694,940,644/180,120
  6. Step 6: Final answer
    x = 847,740.07

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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.