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Finding the Third Proportional to 471,327 and 1,024,666.50

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Solution

The third proportional to 471,327 and 1,024,666.50 is: 2,227,628.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,327 : 1,024,666.50 = 1,024,666.50 : x
  2. Step 2: Convert to fraction form
    471,327/1,024,666.50 = 1,024,666.50/x
  3. Step 3: Cross multiply
    471,327x = 1,024,666.50 × 1,024,666.50
  4. Step 4: Simplify right side
    471,327x = 1,049,941,436,222.25
  5. Step 5: Solve for x
    x = 1,049,941,436,222.25/471,327
  6. Step 6: Final answer
    x = 2,227,628.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.