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Finding the Third Proportional to 642,200.59 and 1,411,520.55

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Solution

The third proportional to 642,200.59 and 1,411,520.55 is: 3,102,442.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,200.59 : 1,411,520.55 = 1,411,520.55 : x
  2. Step 2: Convert to fraction form
    642,200.59/1,411,520.55 = 1,411,520.55/x
  3. Step 3: Cross multiply
    642,200.59x = 1,411,520.55 × 1,411,520.55
  4. Step 4: Simplify right side
    642,200.59x = 1,992,390,276,305.31
  5. Step 5: Solve for x
    x = 1,992,390,276,305.31/642,200.59
  6. Step 6: Final answer
    x = 3,102,442.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.