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Finding the Third Proportional to 869,340 and 1,329,840

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Solution

The third proportional to 869,340 and 1,329,840 is: 2,034,272.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,340 : 1,329,840 = 1,329,840 : x
  2. Step 2: Convert to fraction form
    869,340/1,329,840 = 1,329,840/x
  3. Step 3: Cross multiply
    869,340x = 1,329,840 × 1,329,840
  4. Step 4: Simplify right side
    869,340x = 1,768,474,425,600
  5. Step 5: Solve for x
    x = 1,768,474,425,600/869,340
  6. Step 6: Final answer
    x = 2,034,272.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.