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Finding the Third Proportional to 377,688 and 815,697.75

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Solution

The third proportional to 377,688 and 815,697.75 is: 1,761,673.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,688 : 815,697.75 = 815,697.75 : x
  2. Step 2: Convert to fraction form
    377,688/815,697.75 = 815,697.75/x
  3. Step 3: Cross multiply
    377,688x = 815,697.75 × 815,697.75
  4. Step 4: Simplify right side
    377,688x = 665,362,819,355.06
  5. Step 5: Solve for x
    x = 665,362,819,355.06/377,688
  6. Step 6: Final answer
    x = 1,761,673.18

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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.