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Finding the Third Proportional to 155,210 and 246,180

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Solution

The third proportional to 155,210 and 246,180 is: 390,468.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,210 : 246,180 = 246,180 : x
  2. Step 2: Convert to fraction form
    155,210/246,180 = 246,180/x
  3. Step 3: Cross multiply
    155,210x = 246,180 × 246,180
  4. Step 4: Simplify right side
    155,210x = 60,604,592,400
  5. Step 5: Solve for x
    x = 60,604,592,400/155,210
  6. Step 6: Final answer
    x = 390,468.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.