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Finding the Third Proportional to 478,275 and 732,477

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Solution

The third proportional to 478,275 and 732,477 is: 1,121,786.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,275 : 732,477 = 732,477 : x
  2. Step 2: Convert to fraction form
    478,275/732,477 = 732,477/x
  3. Step 3: Cross multiply
    478,275x = 732,477 × 732,477
  4. Step 4: Simplify right side
    478,275x = 536,522,555,529
  5. Step 5: Solve for x
    x = 536,522,555,529/478,275
  6. Step 6: Final answer
    x = 1,121,786.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.