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Finding the Third Proportional to 407,862 and 885,798

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Solution

The third proportional to 407,862 and 885,798 is: 1,923,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,862 : 885,798 = 885,798 : x
  2. Step 2: Convert to fraction form
    407,862/885,798 = 885,798/x
  3. Step 3: Cross multiply
    407,862x = 885,798 × 885,798
  4. Step 4: Simplify right side
    407,862x = 784,638,096,804
  5. Step 5: Solve for x
    x = 784,638,096,804/407,862
  6. Step 6: Final answer
    x = 1,923,783.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.