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Finding the Third Proportional to 310,573.13 and 665,434.13

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Solution

The third proportional to 310,573.13 and 665,434.13 is: 1,425,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,573.13 : 665,434.13 = 665,434.13 : x
  2. Step 2: Convert to fraction form
    310,573.13/665,434.13 = 665,434.13/x
  3. Step 3: Cross multiply
    310,573.13x = 665,434.13 × 665,434.13
  4. Step 4: Simplify right side
    310,573.13x = 442,802,574,714.52
  5. Step 5: Solve for x
    x = 442,802,574,714.52/310,573.13
  6. Step 6: Final answer
    x = 1,425,759.47

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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.