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Finding the Third Proportional to 509,478 and 1,079,646

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Solution

The third proportional to 509,478 and 1,079,646 is: 2,287,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,478 : 1,079,646 = 1,079,646 : x
  2. Step 2: Convert to fraction form
    509,478/1,079,646 = 1,079,646/x
  3. Step 3: Cross multiply
    509,478x = 1,079,646 × 1,079,646
  4. Step 4: Simplify right side
    509,478x = 1,165,635,485,316
  5. Step 5: Solve for x
    x = 1,165,635,485,316/509,478
  6. Step 6: Final answer
    x = 2,287,901.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.