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Finding the Third Proportional to 98,287 and 212,643

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Solution

The third proportional to 98,287 and 212,643 is: 460,051.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,287 : 212,643 = 212,643 : x
  2. Step 2: Convert to fraction form
    98,287/212,643 = 212,643/x
  3. Step 3: Cross multiply
    98,287x = 212,643 × 212,643
  4. Step 4: Simplify right side
    98,287x = 45,217,045,449
  5. Step 5: Solve for x
    x = 45,217,045,449/98,287
  6. Step 6: Final answer
    x = 460,051.13

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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.