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Finding the Third Proportional to 98,496 and 213,480

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Solution

The third proportional to 98,496 and 213,480 is: 462,696.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,496 : 213,480 = 213,480 : x
  2. Step 2: Convert to fraction form
    98,496/213,480 = 213,480/x
  3. Step 3: Cross multiply
    98,496x = 213,480 × 213,480
  4. Step 4: Simplify right side
    98,496x = 45,573,710,400
  5. Step 5: Solve for x
    x = 45,573,710,400/98,496
  6. Step 6: Final answer
    x = 462,696.05

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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.