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Finding the Third Proportional to 310,019.06 and 664,326.56

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Solution

The third proportional to 310,019.06 and 664,326.56 is: 1,423,556.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,019.06 : 664,326.56 = 664,326.56 : x
  2. Step 2: Convert to fraction form
    310,019.06/664,326.56 = 664,326.56/x
  3. Step 3: Cross multiply
    310,019.06x = 664,326.56 × 664,326.56
  4. Step 4: Simplify right side
    310,019.06x = 441,329,781,643.07
  5. Step 5: Solve for x
    x = 441,329,781,643.07/310,019.06
  6. Step 6: Final answer
    x = 1,423,556.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.