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Finding the Third Proportional to 389,612 and 910,283

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Solution

The third proportional to 389,612 and 910,283 is: 2,126,770.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,612 : 910,283 = 910,283 : x
  2. Step 2: Convert to fraction form
    389,612/910,283 = 910,283/x
  3. Step 3: Cross multiply
    389,612x = 910,283 × 910,283
  4. Step 4: Simplify right side
    389,612x = 828,615,140,089
  5. Step 5: Solve for x
    x = 828,615,140,089/389,612
  6. Step 6: Final answer
    x = 2,126,770.07

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.