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Finding the Third Proportional to 417,717 and 608,715

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Solution

The third proportional to 417,717 and 608,715 is: 887,045.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,717 : 608,715 = 608,715 : x
  2. Step 2: Convert to fraction form
    417,717/608,715 = 608,715/x
  3. Step 3: Cross multiply
    417,717x = 608,715 × 608,715
  4. Step 4: Simplify right side
    417,717x = 370,533,951,225
  5. Step 5: Solve for x
    x = 370,533,951,225/417,717
  6. Step 6: Final answer
    x = 887,045.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.