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Finding the Third Proportional to 610,423 and 897,989

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Solution

The third proportional to 610,423 and 897,989 is: 1,321,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,423 : 897,989 = 897,989 : x
  2. Step 2: Convert to fraction form
    610,423/897,989 = 897,989/x
  3. Step 3: Cross multiply
    610,423x = 897,989 × 897,989
  4. Step 4: Simplify right side
    610,423x = 806,384,244,121
  5. Step 5: Solve for x
    x = 806,384,244,121/610,423
  6. Step 6: Final answer
    x = 1,321,025.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.