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Finding the Third Proportional to 98,964 and 215,688

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Solution

The third proportional to 98,964 and 215,688 is: 470,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,964 : 215,688 = 215,688 : x
  2. Step 2: Convert to fraction form
    98,964/215,688 = 215,688/x
  3. Step 3: Cross multiply
    98,964x = 215,688 × 215,688
  4. Step 4: Simplify right side
    98,964x = 46,521,313,344
  5. Step 5: Solve for x
    x = 46,521,313,344/98,964
  6. Step 6: Final answer
    x = 470,083.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.