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Finding the Third Proportional to 273,632 and 420,312

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Solution

The third proportional to 273,632 and 420,312 is: 645,619.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,632 : 420,312 = 420,312 : x
  2. Step 2: Convert to fraction form
    273,632/420,312 = 420,312/x
  3. Step 3: Cross multiply
    273,632x = 420,312 × 420,312
  4. Step 4: Simplify right side
    273,632x = 176,662,177,344
  5. Step 5: Solve for x
    x = 176,662,177,344/273,632
  6. Step 6: Final answer
    x = 645,619.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.