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Finding the Third Proportional to 648,232 and 981,292

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Solution

The third proportional to 648,232 and 981,292 is: 1,485,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,232 : 981,292 = 981,292 : x
  2. Step 2: Convert to fraction form
    648,232/981,292 = 981,292/x
  3. Step 3: Cross multiply
    648,232x = 981,292 × 981,292
  4. Step 4: Simplify right side
    648,232x = 962,933,989,264
  5. Step 5: Solve for x
    x = 962,933,989,264/648,232
  6. Step 6: Final answer
    x = 1,485,477.41

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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.