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Finding the Third Proportional to 388,434 and 847,478

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Solution

The third proportional to 388,434 and 847,478 is: 1,849,011.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,434 : 847,478 = 847,478 : x
  2. Step 2: Convert to fraction form
    388,434/847,478 = 847,478/x
  3. Step 3: Cross multiply
    388,434x = 847,478 × 847,478
  4. Step 4: Simplify right side
    388,434x = 718,218,960,484
  5. Step 5: Solve for x
    x = 718,218,960,484/388,434
  6. Step 6: Final answer
    x = 1,849,011.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.