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Finding the Third Proportional to 417,940 and 898,728

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Solution

The third proportional to 417,940 and 898,728 is: 1,932,602.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,940 : 898,728 = 898,728 : x
  2. Step 2: Convert to fraction form
    417,940/898,728 = 898,728/x
  3. Step 3: Cross multiply
    417,940x = 898,728 × 898,728
  4. Step 4: Simplify right side
    417,940x = 807,712,017,984
  5. Step 5: Solve for x
    x = 807,712,017,984/417,940
  6. Step 6: Final answer
    x = 1,932,602.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.