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Finding the Third Proportional to 99,746 and 216,447

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Solution

The third proportional to 99,746 and 216,447 is: 469,686.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,746 : 216,447 = 216,447 : x
  2. Step 2: Convert to fraction form
    99,746/216,447 = 216,447/x
  3. Step 3: Cross multiply
    99,746x = 216,447 × 216,447
  4. Step 4: Simplify right side
    99,746x = 46,849,303,809
  5. Step 5: Solve for x
    x = 46,849,303,809/99,746
  6. Step 6: Final answer
    x = 469,686.04

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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.