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Finding the Third Proportional to 288,098 and 455,826

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Solution

The third proportional to 288,098 and 455,826 is: 721,203.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,098 : 455,826 = 455,826 : x
  2. Step 2: Convert to fraction form
    288,098/455,826 = 455,826/x
  3. Step 3: Cross multiply
    288,098x = 455,826 × 455,826
  4. Step 4: Simplify right side
    288,098x = 207,777,342,276
  5. Step 5: Solve for x
    x = 207,777,342,276/288,098
  6. Step 6: Final answer
    x = 721,203.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.