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Finding the Third Proportional to 427,116 and 618,642

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Solution

The third proportional to 427,116 and 618,642 is: 896,051.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,116 : 618,642 = 618,642 : x
  2. Step 2: Convert to fraction form
    427,116/618,642 = 618,642/x
  3. Step 3: Cross multiply
    427,116x = 618,642 × 618,642
  4. Step 4: Simplify right side
    427,116x = 382,717,924,164
  5. Step 5: Solve for x
    x = 382,717,924,164/427,116
  6. Step 6: Final answer
    x = 896,051.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.