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Finding the Third Proportional to 147,775.50 and 320,319

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Solution

The third proportional to 147,775.50 and 320,319 is: 694,325.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,775.50 : 320,319 = 320,319 : x
  2. Step 2: Convert to fraction form
    147,775.50/320,319 = 320,319/x
  3. Step 3: Cross multiply
    147,775.50x = 320,319 × 320,319
  4. Step 4: Simplify right side
    147,775.50x = 102,604,261,761
  5. Step 5: Solve for x
    x = 102,604,261,761/147,775.50
  6. Step 6: Final answer
    x = 694,325.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.