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Finding the Third Proportional to 331,465.50 and 510,138

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Solution

The third proportional to 331,465.50 and 510,138 is: 785,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,465.50 : 510,138 = 510,138 : x
  2. Step 2: Convert to fraction form
    331,465.50/510,138 = 510,138/x
  3. Step 3: Cross multiply
    331,465.50x = 510,138 × 510,138
  4. Step 4: Simplify right side
    331,465.50x = 260,240,779,044
  5. Step 5: Solve for x
    x = 260,240,779,044/331,465.50
  6. Step 6: Final answer
    x = 785,121.77

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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.