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Finding the Third Proportional to 455,328 and 657,816.75

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Solution

The third proportional to 455,328 and 657,816.75 is: 950,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,328 : 657,816.75 = 657,816.75 : x
  2. Step 2: Convert to fraction form
    455,328/657,816.75 = 657,816.75/x
  3. Step 3: Cross multiply
    455,328x = 657,816.75 × 657,816.75
  4. Step 4: Simplify right side
    455,328x = 432,722,876,580.56
  5. Step 5: Solve for x
    x = 432,722,876,580.56/455,328
  6. Step 6: Final answer
    x = 950,354.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.