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Finding the Third Proportional to 376,542 and 828,900

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Solution

The third proportional to 376,542 and 828,900 is: 1,824,697.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,542 : 828,900 = 828,900 : x
  2. Step 2: Convert to fraction form
    376,542/828,900 = 828,900/x
  3. Step 3: Cross multiply
    376,542x = 828,900 × 828,900
  4. Step 4: Simplify right side
    376,542x = 687,075,210,000
  5. Step 5: Solve for x
    x = 687,075,210,000/376,542
  6. Step 6: Final answer
    x = 1,824,697.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.