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Finding the Third Proportional to 499,378 and 782,537

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Solution

The third proportional to 499,378 and 782,537 is: 1,226,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,378 : 782,537 = 782,537 : x
  2. Step 2: Convert to fraction form
    499,378/782,537 = 782,537/x
  3. Step 3: Cross multiply
    499,378x = 782,537 × 782,537
  4. Step 4: Simplify right side
    499,378x = 612,364,156,369
  5. Step 5: Solve for x
    x = 612,364,156,369/499,378
  6. Step 6: Final answer
    x = 1,226,253.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.