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Finding the Third Proportional to 610,438 and 898,015

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Solution

The third proportional to 610,438 and 898,015 is: 1,321,069.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,438 : 898,015 = 898,015 : x
  2. Step 2: Convert to fraction form
    610,438/898,015 = 898,015/x
  3. Step 3: Cross multiply
    610,438x = 898,015 × 898,015
  4. Step 4: Simplify right side
    610,438x = 806,430,940,225
  5. Step 5: Solve for x
    x = 806,430,940,225/610,438
  6. Step 6: Final answer
    x = 1,321,069.36

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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.