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Finding the Third Proportional to 669,301.31 and 1,005,423.47

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Solution

The third proportional to 669,301.31 and 1,005,423.47 is: 1,510,345.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,301.31 : 1,005,423.47 = 1,005,423.47 : x
  2. Step 2: Convert to fraction form
    669,301.31/1,005,423.47 = 1,005,423.47/x
  3. Step 3: Cross multiply
    669,301.31x = 1,005,423.47 × 1,005,423.47
  4. Step 4: Simplify right side
    669,301.31x = 1,010,876,351,513.28
  5. Step 5: Solve for x
    x = 1,010,876,351,513.28/669,301.31
  6. Step 6: Final answer
    x = 1,510,345.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.