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Finding the Third Proportional to 153,702 and 315,058

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Solution

The third proportional to 153,702 and 315,058 is: 645,805.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,702 : 315,058 = 315,058 : x
  2. Step 2: Convert to fraction form
    153,702/315,058 = 315,058/x
  3. Step 3: Cross multiply
    153,702x = 315,058 × 315,058
  4. Step 4: Simplify right side
    153,702x = 99,261,543,364
  5. Step 5: Solve for x
    x = 99,261,543,364/153,702
  6. Step 6: Final answer
    x = 645,805.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.