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Finding the Third Proportional to 455,280 and 689,180

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Solution

The third proportional to 455,280 and 689,180 is: 1,043,246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,280 : 689,180 = 689,180 : x
  2. Step 2: Convert to fraction form
    455,280/689,180 = 689,180/x
  3. Step 3: Cross multiply
    455,280x = 689,180 × 689,180
  4. Step 4: Simplify right side
    455,280x = 474,969,072,400
  5. Step 5: Solve for x
    x = 474,969,072,400/455,280
  6. Step 6: Final answer
    x = 1,043,246.07

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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.