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Finding the Third Proportional to 420,072 and 565,956

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Solution

The third proportional to 420,072 and 565,956 is: 762,503.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,072 : 565,956 = 565,956 : x
  2. Step 2: Convert to fraction form
    420,072/565,956 = 565,956/x
  3. Step 3: Cross multiply
    420,072x = 565,956 × 565,956
  4. Step 4: Simplify right side
    420,072x = 320,306,193,936
  5. Step 5: Solve for x
    x = 320,306,193,936/420,072
  6. Step 6: Final answer
    x = 762,503.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.