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Finding the Third Proportional to 424,218 and 914,855

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Solution

The third proportional to 424,218 and 914,855 is: 1,972,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,218 : 914,855 = 914,855 : x
  2. Step 2: Convert to fraction form
    424,218/914,855 = 914,855/x
  3. Step 3: Cross multiply
    424,218x = 914,855 × 914,855
  4. Step 4: Simplify right side
    424,218x = 836,959,671,025
  5. Step 5: Solve for x
    x = 836,959,671,025/424,218
  6. Step 6: Final answer
    x = 1,972,947.10

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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.