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Finding the Third Proportional to 98,772 and 212,986

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Solution

The third proportional to 98,772 and 212,986 is: 459,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,772 : 212,986 = 212,986 : x
  2. Step 2: Convert to fraction form
    98,772/212,986 = 212,986/x
  3. Step 3: Cross multiply
    98,772x = 212,986 × 212,986
  4. Step 4: Simplify right side
    98,772x = 45,363,036,196
  5. Step 5: Solve for x
    x = 45,363,036,196/98,772
  6. Step 6: Final answer
    x = 459,270.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.