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Finding the Third Proportional to 370,413 and 817,938

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Solution

The third proportional to 370,413 and 817,938 is: 1,806,153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,413 : 817,938 = 817,938 : x
  2. Step 2: Convert to fraction form
    370,413/817,938 = 817,938/x
  3. Step 3: Cross multiply
    370,413x = 817,938 × 817,938
  4. Step 4: Simplify right side
    370,413x = 669,022,571,844
  5. Step 5: Solve for x
    x = 669,022,571,844/370,413
  6. Step 6: Final answer
    x = 1,806,153.06

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.