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Finding the Third Proportional to 98,790 and 216,318

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Solution

The third proportional to 98,790 and 216,318 is: 473,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,790 : 216,318 = 216,318 : x
  2. Step 2: Convert to fraction form
    98,790/216,318 = 216,318/x
  3. Step 3: Cross multiply
    98,790x = 216,318 × 216,318
  4. Step 4: Simplify right side
    98,790x = 46,793,477,124
  5. Step 5: Solve for x
    x = 46,793,477,124/98,790
  6. Step 6: Final answer
    x = 473,666.13

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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.