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Finding the Third Proportional to 310,326.19 and 664,939.13

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Solution

The third proportional to 310,326.19 and 664,939.13 is: 1,424,771.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,326.19 : 664,939.13 = 664,939.13 : x
  2. Step 2: Convert to fraction form
    310,326.19/664,939.13 = 664,939.13/x
  3. Step 3: Cross multiply
    310,326.19x = 664,939.13 × 664,939.13
  4. Step 4: Simplify right side
    310,326.19x = 442,144,039,955.77
  5. Step 5: Solve for x
    x = 442,144,039,955.77/310,326.19
  6. Step 6: Final answer
    x = 1,424,771.93

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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.