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Finding the Third Proportional to 291,316.50 and 435,759.75

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Solution

The third proportional to 291,316.50 and 435,759.75 is: 651,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,316.50 : 435,759.75 = 435,759.75 : x
  2. Step 2: Convert to fraction form
    291,316.50/435,759.75 = 435,759.75/x
  3. Step 3: Cross multiply
    291,316.50x = 435,759.75 × 435,759.75
  4. Step 4: Simplify right side
    291,316.50x = 189,886,559,720.06
  5. Step 5: Solve for x
    x = 189,886,559,720.06/291,316.50
  6. Step 6: Final answer
    x = 651,822.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.