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Finding the Third Proportional to 377,352 and 813,780

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Solution

The third proportional to 377,352 and 813,780 is: 1,754,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,352 : 813,780 = 813,780 : x
  2. Step 2: Convert to fraction form
    377,352/813,780 = 813,780/x
  3. Step 3: Cross multiply
    377,352x = 813,780 × 813,780
  4. Step 4: Simplify right side
    377,352x = 662,237,888,400
  5. Step 5: Solve for x
    x = 662,237,888,400/377,352
  6. Step 6: Final answer
    x = 1,754,960.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.