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Finding the Third Proportional to 389,034 and 805,068

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Solution

The third proportional to 389,034 and 805,068 is: 1,666,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,034 : 805,068 = 805,068 : x
  2. Step 2: Convert to fraction form
    389,034/805,068 = 805,068/x
  3. Step 3: Cross multiply
    389,034x = 805,068 × 805,068
  4. Step 4: Simplify right side
    389,034x = 648,134,484,624
  5. Step 5: Solve for x
    x = 648,134,484,624/389,034
  6. Step 6: Final answer
    x = 1,666,009.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.