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Finding the Third Proportional to 428,850 and 916,719

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Solution

The third proportional to 428,850 and 916,719 is: 1,959,598.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,850 : 916,719 = 916,719 : x
  2. Step 2: Convert to fraction form
    428,850/916,719 = 916,719/x
  3. Step 3: Cross multiply
    428,850x = 916,719 × 916,719
  4. Step 4: Simplify right side
    428,850x = 840,373,724,961
  5. Step 5: Solve for x
    x = 840,373,724,961/428,850
  6. Step 6: Final answer
    x = 1,959,598.29

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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.