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Finding the Third Proportional to 455,192 and 689,076

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Solution

The third proportional to 455,192 and 689,076 is: 1,043,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,192 : 689,076 = 689,076 : x
  2. Step 2: Convert to fraction form
    455,192/689,076 = 689,076/x
  3. Step 3: Cross multiply
    455,192x = 689,076 × 689,076
  4. Step 4: Simplify right side
    455,192x = 474,825,733,776
  5. Step 5: Solve for x
    x = 474,825,733,776/455,192
  6. Step 6: Final answer
    x = 1,043,132.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.