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Finding the Third Proportional to 648,169 and 981,209

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Solution

The third proportional to 648,169 and 981,209 is: 1,485,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,169 : 981,209 = 981,209 : x
  2. Step 2: Convert to fraction form
    648,169/981,209 = 981,209/x
  3. Step 3: Cross multiply
    648,169x = 981,209 × 981,209
  4. Step 4: Simplify right side
    648,169x = 962,771,101,681
  5. Step 5: Solve for x
    x = 962,771,101,681/648,169
  6. Step 6: Final answer
    x = 1,485,370.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.