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Finding the Third Proportional to 433,476 and 927,040

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Solution

The third proportional to 433,476 and 927,040 is: 1,982,585.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,476 : 927,040 = 927,040 : x
  2. Step 2: Convert to fraction form
    433,476/927,040 = 927,040/x
  3. Step 3: Cross multiply
    433,476x = 927,040 × 927,040
  4. Step 4: Simplify right side
    433,476x = 859,403,161,600
  5. Step 5: Solve for x
    x = 859,403,161,600/433,476
  6. Step 6: Final answer
    x = 1,982,585.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.