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Finding the Third Proportional to 108,420 and 260,871.75

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Solution

The third proportional to 108,420 and 260,871.75 is: 627,689.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,420 : 260,871.75 = 260,871.75 : x
  2. Step 2: Convert to fraction form
    108,420/260,871.75 = 260,871.75/x
  3. Step 3: Cross multiply
    108,420x = 260,871.75 × 260,871.75
  4. Step 4: Simplify right side
    108,420x = 68,054,069,948.06
  5. Step 5: Solve for x
    x = 68,054,069,948.06/108,420
  6. Step 6: Final answer
    x = 627,689.26

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.