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Finding the Third Proportional to 273,572 and 420,240

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Solution

The third proportional to 273,572 and 420,240 is: 645,539.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,572 : 420,240 = 420,240 : x
  2. Step 2: Convert to fraction form
    273,572/420,240 = 420,240/x
  3. Step 3: Cross multiply
    273,572x = 420,240 × 420,240
  4. Step 4: Simplify right side
    273,572x = 176,601,657,600
  5. Step 5: Solve for x
    x = 176,601,657,600/273,572
  6. Step 6: Final answer
    x = 645,539.96

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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.