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Finding the Third Proportional to 153,273 and 335,058

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Solution

The third proportional to 153,273 and 335,058 is: 732,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,273 : 335,058 = 335,058 : x
  2. Step 2: Convert to fraction form
    153,273/335,058 = 335,058/x
  3. Step 3: Cross multiply
    153,273x = 335,058 × 335,058
  4. Step 4: Simplify right side
    153,273x = 112,263,863,364
  5. Step 5: Solve for x
    x = 112,263,863,364/153,273
  6. Step 6: Final answer
    x = 732,443.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.