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Finding the Third Proportional to 98,515 and 213,541

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Solution

The third proportional to 98,515 and 213,541 is: 462,871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,515 : 213,541 = 213,541 : x
  2. Step 2: Convert to fraction form
    98,515/213,541 = 213,541/x
  3. Step 3: Cross multiply
    98,515x = 213,541 × 213,541
  4. Step 4: Simplify right side
    98,515x = 45,599,758,681
  5. Step 5: Solve for x
    x = 45,599,758,681/98,515
  6. Step 6: Final answer
    x = 462,871.22

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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.