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Finding the Third Proportional to 478,797.50 and 723,907

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Solution

The third proportional to 478,797.50 and 723,907 is: 1,094,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,797.50 : 723,907 = 723,907 : x
  2. Step 2: Convert to fraction form
    478,797.50/723,907 = 723,907/x
  3. Step 3: Cross multiply
    478,797.50x = 723,907 × 723,907
  4. Step 4: Simplify right side
    478,797.50x = 524,041,344,649
  5. Step 5: Solve for x
    x = 524,041,344,649/478,797.50
  6. Step 6: Final answer
    x = 1,094,494.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.