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Finding the Third Proportional to 425,685 and 917,808

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Solution

The third proportional to 425,685 and 917,808 is: 1,978,861.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,685 : 917,808 = 917,808 : x
  2. Step 2: Convert to fraction form
    425,685/917,808 = 917,808/x
  3. Step 3: Cross multiply
    425,685x = 917,808 × 917,808
  4. Step 4: Simplify right side
    425,685x = 842,371,524,864
  5. Step 5: Solve for x
    x = 842,371,524,864/425,685
  6. Step 6: Final answer
    x = 1,978,861.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.