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Finding the Third Proportional to 921,172 and 1,982,313

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Solution

The third proportional to 921,172 and 1,982,313 is: 4,265,831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,172 : 1,982,313 = 1,982,313 : x
  2. Step 2: Convert to fraction form
    921,172/1,982,313 = 1,982,313/x
  3. Step 3: Cross multiply
    921,172x = 1,982,313 × 1,982,313
  4. Step 4: Simplify right side
    921,172x = 3,929,564,829,969
  5. Step 5: Solve for x
    x = 3,929,564,829,969/921,172
  6. Step 6: Final answer
    x = 4,265,831.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.