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Finding the Third Proportional to 98,724 and 212,040

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Solution

The third proportional to 98,724 and 212,040 is: 455,420.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,724 : 212,040 = 212,040 : x
  2. Step 2: Convert to fraction form
    98,724/212,040 = 212,040/x
  3. Step 3: Cross multiply
    98,724x = 212,040 × 212,040
  4. Step 4: Simplify right side
    98,724x = 44,960,961,600
  5. Step 5: Solve for x
    x = 44,960,961,600/98,724
  6. Step 6: Final answer
    x = 455,420.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.