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Finding the Third Proportional to 354,623.06 and 787,978.13

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Solution

The third proportional to 354,623.06 and 787,978.13 is: 1,750,900.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,623.06 : 787,978.13 = 787,978.13 : x
  2. Step 2: Convert to fraction form
    354,623.06/787,978.13 = 787,978.13/x
  3. Step 3: Cross multiply
    354,623.06x = 787,978.13 × 787,978.13
  4. Step 4: Simplify right side
    354,623.06x = 620,909,525,478.52
  5. Step 5: Solve for x
    x = 620,909,525,478.52/354,623.06
  6. Step 6: Final answer
    x = 1,750,900.02

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.