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Finding the Third Proportional to 331,317 and 510,187.50

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Solution

The third proportional to 331,317 and 510,187.50 is: 785,626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,317 : 510,187.50 = 510,187.50 : x
  2. Step 2: Convert to fraction form
    331,317/510,187.50 = 510,187.50/x
  3. Step 3: Cross multiply
    331,317x = 510,187.50 × 510,187.50
  4. Step 4: Simplify right side
    331,317x = 260,291,285,156.25
  5. Step 5: Solve for x
    x = 260,291,285,156.25/331,317
  6. Step 6: Final answer
    x = 785,626.11

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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.