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Finding the Third Proportional to 477,218 and 645,795

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Solution

The third proportional to 477,218 and 645,795 is: 873,921.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,218 : 645,795 = 645,795 : x
  2. Step 2: Convert to fraction form
    477,218/645,795 = 645,795/x
  3. Step 3: Cross multiply
    477,218x = 645,795 × 645,795
  4. Step 4: Simplify right side
    477,218x = 417,051,182,025
  5. Step 5: Solve for x
    x = 417,051,182,025/477,218
  6. Step 6: Final answer
    x = 873,921.73

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.