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Finding the Third Proportional to 310,047.19 and 664,381.13

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Solution

The third proportional to 310,047.19 and 664,381.13 is: 1,423,661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,047.19 : 664,381.13 = 664,381.13 : x
  2. Step 2: Convert to fraction form
    310,047.19/664,381.13 = 664,381.13/x
  3. Step 3: Cross multiply
    310,047.19x = 664,381.13 × 664,381.13
  4. Step 4: Simplify right side
    310,047.19x = 441,402,279,256.27
  5. Step 5: Solve for x
    x = 441,402,279,256.27/310,047.19
  6. Step 6: Final answer
    x = 1,423,661.61

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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.