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Finding the Third Proportional to 98,888 and 216,386

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Solution

The third proportional to 98,888 and 216,386 is: 473,494.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,888 : 216,386 = 216,386 : x
  2. Step 2: Convert to fraction form
    98,888/216,386 = 216,386/x
  3. Step 3: Cross multiply
    98,888x = 216,386 × 216,386
  4. Step 4: Simplify right side
    98,888x = 46,822,900,996
  5. Step 5: Solve for x
    x = 46,822,900,996/98,888
  6. Step 6: Final answer
    x = 473,494.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.