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Finding the Third Proportional to 605,079 and 1,289,646

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Solution

The third proportional to 605,079 and 1,289,646 is: 2,748,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,079 : 1,289,646 = 1,289,646 : x
  2. Step 2: Convert to fraction form
    605,079/1,289,646 = 1,289,646/x
  3. Step 3: Cross multiply
    605,079x = 1,289,646 × 1,289,646
  4. Step 4: Simplify right side
    605,079x = 1,663,186,805,316
  5. Step 5: Solve for x
    x = 1,663,186,805,316/605,079
  6. Step 6: Final answer
    x = 2,748,710.18

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.