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Finding the Third Proportional to 98,740 and 216,787

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Solution

The third proportional to 98,740 and 216,787 is: 475,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,740 : 216,787 = 216,787 : x
  2. Step 2: Convert to fraction form
    98,740/216,787 = 216,787/x
  3. Step 3: Cross multiply
    98,740x = 216,787 × 216,787
  4. Step 4: Simplify right side
    98,740x = 46,996,603,369
  5. Step 5: Solve for x
    x = 46,996,603,369/98,740
  6. Step 6: Final answer
    x = 475,963.17

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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.