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Finding the Third Proportional to 538,356 and 782,478

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Solution

The third proportional to 538,356 and 782,478 is: 1,137,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,356 : 782,478 = 782,478 : x
  2. Step 2: Convert to fraction form
    538,356/782,478 = 782,478/x
  3. Step 3: Cross multiply
    538,356x = 782,478 × 782,478
  4. Step 4: Simplify right side
    538,356x = 612,271,820,484
  5. Step 5: Solve for x
    x = 612,271,820,484/538,356
  6. Step 6: Final answer
    x = 1,137,299.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.