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Finding the Third Proportional to 417,980 and 645,798

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Solution

The third proportional to 417,980 and 645,798 is: 997,787.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,980 : 645,798 = 645,798 : x
  2. Step 2: Convert to fraction form
    417,980/645,798 = 645,798/x
  3. Step 3: Cross multiply
    417,980x = 645,798 × 645,798
  4. Step 4: Simplify right side
    417,980x = 417,055,056,804
  5. Step 5: Solve for x
    x = 417,055,056,804/417,980
  6. Step 6: Final answer
    x = 997,787.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.