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Finding the Third Proportional to 478,218 and 716,406

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Solution

The third proportional to 478,218 and 716,406 is: 1,073,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,218 : 716,406 = 716,406 : x
  2. Step 2: Convert to fraction form
    478,218/716,406 = 716,406/x
  3. Step 3: Cross multiply
    478,218x = 716,406 × 716,406
  4. Step 4: Simplify right side
    478,218x = 513,237,556,836
  5. Step 5: Solve for x
    x = 513,237,556,836/478,218
  6. Step 6: Final answer
    x = 1,073,229.27

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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.