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Finding the Third Proportional to 509,481 and 1,107,432

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Solution

The third proportional to 509,481 and 1,107,432 is: 2,407,166.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,481 : 1,107,432 = 1,107,432 : x
  2. Step 2: Convert to fraction form
    509,481/1,107,432 = 1,107,432/x
  3. Step 3: Cross multiply
    509,481x = 1,107,432 × 1,107,432
  4. Step 4: Simplify right side
    509,481x = 1,226,405,634,624
  5. Step 5: Solve for x
    x = 1,226,405,634,624/509,481
  6. Step 6: Final answer
    x = 2,407,166.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.