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Finding the Third Proportional to 3,785,564 and 5,723,514

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Solution

The third proportional to 3,785,564 and 5,723,514 is: 8,653,561.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,564 : 5,723,514 = 5,723,514 : x
  2. Step 2: Convert to fraction form
    3,785,564/5,723,514 = 5,723,514/x
  3. Step 3: Cross multiply
    3,785,564x = 5,723,514 × 5,723,514
  4. Step 4: Simplify right side
    3,785,564x = 32,758,612,508,196
  5. Step 5: Solve for x
    x = 32,758,612,508,196/3,785,564
  6. Step 6: Final answer
    x = 8,653,561.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.