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Finding the Third Proportional to 306,111.66 and 656,510.06

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Solution

The third proportional to 306,111.66 and 656,510.06 is: 1,408,000.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,111.66 : 656,510.06 = 656,510.06 : x
  2. Step 2: Convert to fraction form
    306,111.66/656,510.06 = 656,510.06/x
  3. Step 3: Cross multiply
    306,111.66x = 656,510.06 × 656,510.06
  4. Step 4: Simplify right side
    306,111.66x = 431,005,462,163.75
  5. Step 5: Solve for x
    x = 431,005,462,163.75/306,111.66
  6. Step 6: Final answer
    x = 1,408,000.82

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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.