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Finding the Third Proportional to 273,718 and 435,871

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Solution

The third proportional to 273,718 and 435,871 is: 694,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,718 : 435,871 = 435,871 : x
  2. Step 2: Convert to fraction form
    273,718/435,871 = 435,871/x
  3. Step 3: Cross multiply
    273,718x = 435,871 × 435,871
  4. Step 4: Simplify right side
    273,718x = 189,983,528,641
  5. Step 5: Solve for x
    x = 189,983,528,641/273,718
  6. Step 6: Final answer
    x = 694,084.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.