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Finding the Third Proportional to 219,294 and 455,825.25

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Solution

The third proportional to 219,294 and 455,825.25 is: 947,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,294 : 455,825.25 = 455,825.25 : x
  2. Step 2: Convert to fraction form
    219,294/455,825.25 = 455,825.25/x
  3. Step 3: Cross multiply
    219,294x = 455,825.25 × 455,825.25
  4. Step 4: Simplify right side
    219,294x = 207,776,658,537.56
  5. Step 5: Solve for x
    x = 207,776,658,537.56/219,294
  6. Step 6: Final answer
    x = 947,479.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.