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Finding the Third Proportional to 100,345.71 and 208,995.19

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Solution

The third proportional to 100,345.71 and 208,995.19 is: 435,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,345.71 : 208,995.19 = 208,995.19 : x
  2. Step 2: Convert to fraction form
    100,345.71/208,995.19 = 208,995.19/x
  3. Step 3: Cross multiply
    100,345.71x = 208,995.19 × 208,995.19
  4. Step 4: Simplify right side
    100,345.71x = 43,678,988,398.16
  5. Step 5: Solve for x
    x = 43,678,988,398.16/100,345.71
  6. Step 6: Final answer
    x = 435,285.06

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.