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Finding the Third Proportional to 377,689.50 and 772,831.13

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Solution

The third proportional to 377,689.50 and 772,831.13 is: 1,581,372.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,689.50 : 772,831.13 = 772,831.13 : x
  2. Step 2: Convert to fraction form
    377,689.50/772,831.13 = 772,831.13/x
  3. Step 3: Cross multiply
    377,689.50x = 772,831.13 × 772,831.13
  4. Step 4: Simplify right side
    377,689.50x = 597,267,947,768.77
  5. Step 5: Solve for x
    x = 597,267,947,768.77/377,689.50
  6. Step 6: Final answer
    x = 1,581,372.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.