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Finding the Third Proportional to 264,430 and 402,844

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Solution

The third proportional to 264,430 and 402,844 is: 613,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,430 : 402,844 = 402,844 : x
  2. Step 2: Convert to fraction form
    264,430/402,844 = 402,844/x
  3. Step 3: Cross multiply
    264,430x = 402,844 × 402,844
  4. Step 4: Simplify right side
    264,430x = 162,283,288,336
  5. Step 5: Solve for x
    x = 162,283,288,336/264,430
  6. Step 6: Final answer
    x = 613,709.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.