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Finding the Third Proportional to 290,470 and 480,023.50

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Solution

The third proportional to 290,470 and 480,023.50 is: 793,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,470 : 480,023.50 = 480,023.50 : x
  2. Step 2: Convert to fraction form
    290,470/480,023.50 = 480,023.50/x
  3. Step 3: Cross multiply
    290,470x = 480,023.50 × 480,023.50
  4. Step 4: Simplify right side
    290,470x = 230,422,560,552.25
  5. Step 5: Solve for x
    x = 230,422,560,552.25/290,470
  6. Step 6: Final answer
    x = 793,274.90

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.