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Finding the Third Proportional to 345,216 and 529,896

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Solution

The third proportional to 345,216 and 529,896 is: 813,374.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,216 : 529,896 = 529,896 : x
  2. Step 2: Convert to fraction form
    345,216/529,896 = 529,896/x
  3. Step 3: Cross multiply
    345,216x = 529,896 × 529,896
  4. Step 4: Simplify right side
    345,216x = 280,789,770,816
  5. Step 5: Solve for x
    x = 280,789,770,816/345,216
  6. Step 6: Final answer
    x = 813,374.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.