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Finding the Third Proportional to 208,343 and 455,890

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Solution

The third proportional to 208,343 and 455,890 is: 997,565.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,343 : 455,890 = 455,890 : x
  2. Step 2: Convert to fraction form
    208,343/455,890 = 455,890/x
  3. Step 3: Cross multiply
    208,343x = 455,890 × 455,890
  4. Step 4: Simplify right side
    208,343x = 207,835,692,100
  5. Step 5: Solve for x
    x = 207,835,692,100/208,343
  6. Step 6: Final answer
    x = 997,565.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.