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Finding the Third Proportional to 333,172 and 487,261

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Solution

The third proportional to 333,172 and 487,261 is: 712,614.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,172 : 487,261 = 487,261 : x
  2. Step 2: Convert to fraction form
    333,172/487,261 = 487,261/x
  3. Step 3: Cross multiply
    333,172x = 487,261 × 487,261
  4. Step 4: Simplify right side
    333,172x = 237,423,282,121
  5. Step 5: Solve for x
    x = 237,423,282,121/333,172
  6. Step 6: Final answer
    x = 712,614.75

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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.