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Finding the Third Proportional to 127,454 and 202,430

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Solution

The third proportional to 127,454 and 202,430 is: 321,511.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,454 : 202,430 = 202,430 : x
  2. Step 2: Convert to fraction form
    127,454/202,430 = 202,430/x
  3. Step 3: Cross multiply
    127,454x = 202,430 × 202,430
  4. Step 4: Simplify right side
    127,454x = 40,977,904,900
  5. Step 5: Solve for x
    x = 40,977,904,900/127,454
  6. Step 6: Final answer
    x = 321,511.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.