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Finding the Third Proportional to 276,335 and 405,437

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Solution

The third proportional to 276,335 and 405,437 is: 594,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,335 : 405,437 = 405,437 : x
  2. Step 2: Convert to fraction form
    276,335/405,437 = 405,437/x
  3. Step 3: Cross multiply
    276,335x = 405,437 × 405,437
  4. Step 4: Simplify right side
    276,335x = 164,379,160,969
  5. Step 5: Solve for x
    x = 164,379,160,969/276,335
  6. Step 6: Final answer
    x = 594,854.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.