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Finding the Third Proportional to 428,888 and 916,674

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Solution

The third proportional to 428,888 and 916,674 is: 1,959,232.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,888 : 916,674 = 916,674 : x
  2. Step 2: Convert to fraction form
    428,888/916,674 = 916,674/x
  3. Step 3: Cross multiply
    428,888x = 916,674 × 916,674
  4. Step 4: Simplify right side
    428,888x = 840,291,222,276
  5. Step 5: Solve for x
    x = 840,291,222,276/428,888
  6. Step 6: Final answer
    x = 1,959,232.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.