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Finding the Third Proportional to 455,188 and 689,070

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Solution

The third proportional to 455,188 and 689,070 is: 1,043,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,188 : 689,070 = 689,070 : x
  2. Step 2: Convert to fraction form
    455,188/689,070 = 689,070/x
  3. Step 3: Cross multiply
    455,188x = 689,070 × 689,070
  4. Step 4: Simplify right side
    455,188x = 474,817,464,900
  5. Step 5: Solve for x
    x = 474,817,464,900/455,188
  6. Step 6: Final answer
    x = 1,043,123.86

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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.