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Finding the Third Proportional to 311,758.88 and 456,534.56

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Solution

The third proportional to 311,758.88 and 456,534.56 is: 668,541.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,758.88 : 456,534.56 = 456,534.56 : x
  2. Step 2: Convert to fraction form
    311,758.88/456,534.56 = 456,534.56/x
  3. Step 3: Cross multiply
    311,758.88x = 456,534.56 × 456,534.56
  4. Step 4: Simplify right side
    311,758.88x = 208,423,806,757.07
  5. Step 5: Solve for x
    x = 208,423,806,757.07/311,758.88
  6. Step 6: Final answer
    x = 668,541.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.