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Finding the Third Proportional to 415,820 and 898,114

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Solution

The third proportional to 415,820 and 898,114 is: 1,939,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,820 : 898,114 = 898,114 : x
  2. Step 2: Convert to fraction form
    415,820/898,114 = 898,114/x
  3. Step 3: Cross multiply
    415,820x = 898,114 × 898,114
  4. Step 4: Simplify right side
    415,820x = 806,608,756,996
  5. Step 5: Solve for x
    x = 806,608,756,996/415,820
  6. Step 6: Final answer
    x = 1,939,802.70

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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.