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Finding the Third Proportional to 273,570 and 420,237

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Solution

The third proportional to 273,570 and 420,237 is: 645,535.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,570 : 420,237 = 420,237 : x
  2. Step 2: Convert to fraction form
    273,570/420,237 = 420,237/x
  3. Step 3: Cross multiply
    273,570x = 420,237 × 420,237
  4. Step 4: Simplify right side
    273,570x = 176,599,136,169
  5. Step 5: Solve for x
    x = 176,599,136,169/273,570
  6. Step 6: Final answer
    x = 645,535.46

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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.