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Finding the Third Proportional to 291,570 and 435,104

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Solution

The third proportional to 291,570 and 435,104 is: 649,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,570 : 435,104 = 435,104 : x
  2. Step 2: Convert to fraction form
    291,570/435,104 = 435,104/x
  3. Step 3: Cross multiply
    291,570x = 435,104 × 435,104
  4. Step 4: Simplify right side
    291,570x = 189,315,490,816
  5. Step 5: Solve for x
    x = 189,315,490,816/291,570
  6. Step 6: Final answer
    x = 649,296.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.