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Finding the Third Proportional to 304,515 and 455,557.50

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Solution

The third proportional to 304,515 and 455,557.50 is: 681,518.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,515 : 455,557.50 = 455,557.50 : x
  2. Step 2: Convert to fraction form
    304,515/455,557.50 = 455,557.50/x
  3. Step 3: Cross multiply
    304,515x = 455,557.50 × 455,557.50
  4. Step 4: Simplify right side
    304,515x = 207,532,635,806.25
  5. Step 5: Solve for x
    x = 207,532,635,806.25/304,515
  6. Step 6: Final answer
    x = 681,518.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.