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Finding the Third Proportional to 98,391 and 217,455.75

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Solution

The third proportional to 98,391 and 217,455.75 is: 480,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,391 : 217,455.75 = 217,455.75 : x
  2. Step 2: Convert to fraction form
    98,391/217,455.75 = 217,455.75/x
  3. Step 3: Cross multiply
    98,391x = 217,455.75 × 217,455.75
  4. Step 4: Simplify right side
    98,391x = 47,287,003,208.06
  5. Step 5: Solve for x
    x = 47,287,003,208.06/98,391
  6. Step 6: Final answer
    x = 480,602.93

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.