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Finding the Third Proportional to 395,109 and 627,655.50

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Solution

The third proportional to 395,109 and 627,655.50 is: 997,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,109 : 627,655.50 = 627,655.50 : x
  2. Step 2: Convert to fraction form
    395,109/627,655.50 = 627,655.50/x
  3. Step 3: Cross multiply
    395,109x = 627,655.50 × 627,655.50
  4. Step 4: Simplify right side
    395,109x = 393,951,426,680.25
  5. Step 5: Solve for x
    x = 393,951,426,680.25/395,109
  6. Step 6: Final answer
    x = 997,070.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.