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Finding the Third Proportional to 99,574 and 208,382

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Solution

The third proportional to 99,574 and 208,382 is: 436,088.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,574 : 208,382 = 208,382 : x
  2. Step 2: Convert to fraction form
    99,574/208,382 = 208,382/x
  3. Step 3: Cross multiply
    99,574x = 208,382 × 208,382
  4. Step 4: Simplify right side
    99,574x = 43,423,057,924
  5. Step 5: Solve for x
    x = 43,423,057,924/99,574
  6. Step 6: Final answer
    x = 436,088.32

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.