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Finding the Third Proportional to 427,167 and 623,881.50

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Solution

The third proportional to 427,167 and 623,881.50 is: 911,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,167 : 623,881.50 = 623,881.50 : x
  2. Step 2: Convert to fraction form
    427,167/623,881.50 = 623,881.50/x
  3. Step 3: Cross multiply
    427,167x = 623,881.50 × 623,881.50
  4. Step 4: Simplify right side
    427,167x = 389,228,126,042.25
  5. Step 5: Solve for x
    x = 389,228,126,042.25/427,167
  6. Step 6: Final answer
    x = 911,184.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.