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Finding the Third Proportional to 388,217 and 848,403

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Solution

The third proportional to 388,217 and 848,403 is: 1,854,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,217 : 848,403 = 848,403 : x
  2. Step 2: Convert to fraction form
    388,217/848,403 = 848,403/x
  3. Step 3: Cross multiply
    388,217x = 848,403 × 848,403
  4. Step 4: Simplify right side
    388,217x = 719,787,650,409
  5. Step 5: Solve for x
    x = 719,787,650,409/388,217
  6. Step 6: Final answer
    x = 1,854,085.86

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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.