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Finding the Third Proportional to 128,547 and 300,408.75

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Solution

The third proportional to 128,547 and 300,408.75 is: 702,042.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,547 : 300,408.75 = 300,408.75 : x
  2. Step 2: Convert to fraction form
    128,547/300,408.75 = 300,408.75/x
  3. Step 3: Cross multiply
    128,547x = 300,408.75 × 300,408.75
  4. Step 4: Simplify right side
    128,547x = 90,245,417,076.56
  5. Step 5: Solve for x
    x = 90,245,417,076.56/128,547
  6. Step 6: Final answer
    x = 702,042.19

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.