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Finding the Third Proportional to 735,194.25 and 1,124,419.50

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Solution

The third proportional to 735,194.25 and 1,124,419.50 is: 1,719,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,194.25 : 1,124,419.50 = 1,124,419.50 : x
  2. Step 2: Convert to fraction form
    735,194.25/1,124,419.50 = 1,124,419.50/x
  3. Step 3: Cross multiply
    735,194.25x = 1,124,419.50 × 1,124,419.50
  4. Step 4: Simplify right side
    735,194.25x = 1,264,319,211,980.25
  5. Step 5: Solve for x
    x = 1,264,319,211,980.25/735,194.25
  6. Step 6: Final answer
    x = 1,719,707.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.