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Finding the Third Proportional to 478,911 and 720,378

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Solution

The third proportional to 478,911 and 720,378 is: 1,083,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,911 : 720,378 = 720,378 : x
  2. Step 2: Convert to fraction form
    478,911/720,378 = 720,378/x
  3. Step 3: Cross multiply
    478,911x = 720,378 × 720,378
  4. Step 4: Simplify right side
    478,911x = 518,944,462,884
  5. Step 5: Solve for x
    x = 518,944,462,884/478,911
  6. Step 6: Final answer
    x = 1,083,592.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.