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Finding the Third Proportional to 257,486 and 377,011

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Solution

The third proportional to 257,486 and 377,011 is: 552,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,486 : 377,011 = 377,011 : x
  2. Step 2: Convert to fraction form
    257,486/377,011 = 377,011/x
  3. Step 3: Cross multiply
    257,486x = 377,011 × 377,011
  4. Step 4: Simplify right side
    257,486x = 142,137,294,121
  5. Step 5: Solve for x
    x = 142,137,294,121/257,486
  6. Step 6: Final answer
    x = 552,019.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.