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Finding the Third Proportional to 98,488 and 216,688

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Solution

The third proportional to 98,488 and 216,688 is: 476,745.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,488 : 216,688 = 216,688 : x
  2. Step 2: Convert to fraction form
    98,488/216,688 = 216,688/x
  3. Step 3: Cross multiply
    98,488x = 216,688 × 216,688
  4. Step 4: Simplify right side
    98,488x = 46,953,689,344
  5. Step 5: Solve for x
    x = 46,953,689,344/98,488
  6. Step 6: Final answer
    x = 476,745.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.