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Finding the Third Proportional to 386,316 and 847,314

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Solution

The third proportional to 386,316 and 847,314 is: 1,858,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,316 : 847,314 = 847,314 : x
  2. Step 2: Convert to fraction form
    386,316/847,314 = 847,314/x
  3. Step 3: Cross multiply
    386,316x = 847,314 × 847,314
  4. Step 4: Simplify right side
    386,316x = 717,941,014,596
  5. Step 5: Solve for x
    x = 717,941,014,596/386,316
  6. Step 6: Final answer
    x = 1,858,429.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.