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Finding the Third Proportional to 98,470 and 214,988

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Solution

The third proportional to 98,470 and 214,988 is: 469,379.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,470 : 214,988 = 214,988 : x
  2. Step 2: Convert to fraction form
    98,470/214,988 = 214,988/x
  3. Step 3: Cross multiply
    98,470x = 214,988 × 214,988
  4. Step 4: Simplify right side
    98,470x = 46,219,840,144
  5. Step 5: Solve for x
    x = 46,219,840,144/98,470
  6. Step 6: Final answer
    x = 469,379.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.