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Finding the Third Proportional to 431,109.38 and 652,628.25

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Solution

The third proportional to 431,109.38 and 652,628.25 is: 987,971.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,109.38 : 652,628.25 = 652,628.25 : x
  2. Step 2: Convert to fraction form
    431,109.38/652,628.25 = 652,628.25/x
  3. Step 3: Cross multiply
    431,109.38x = 652,628.25 × 652,628.25
  4. Step 4: Simplify right side
    431,109.38x = 425,923,632,698.06
  5. Step 5: Solve for x
    x = 425,923,632,698.06/431,109.38
  6. Step 6: Final answer
    x = 987,971.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.