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Finding the Third Proportional to 768,410 and 1,686,288

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Solution

The third proportional to 768,410 and 1,686,288 is: 3,700,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,410 : 1,686,288 = 1,686,288 : x
  2. Step 2: Convert to fraction form
    768,410/1,686,288 = 1,686,288/x
  3. Step 3: Cross multiply
    768,410x = 1,686,288 × 1,686,288
  4. Step 4: Simplify right side
    768,410x = 2,843,567,218,944
  5. Step 5: Solve for x
    x = 2,843,567,218,944/768,410
  6. Step 6: Final answer
    x = 3,700,585.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.