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Finding the Third Proportional to 538,362 and 782,487

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Solution

The third proportional to 538,362 and 782,487 is: 1,137,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,362 : 782,487 = 782,487 : x
  2. Step 2: Convert to fraction form
    538,362/782,487 = 782,487/x
  3. Step 3: Cross multiply
    538,362x = 782,487 × 782,487
  4. Step 4: Simplify right side
    538,362x = 612,285,905,169
  5. Step 5: Solve for x
    x = 612,285,905,169/538,362
  6. Step 6: Final answer
    x = 1,137,312.64

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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.