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Finding the Third Proportional to 197,271.75 and 431,457.38

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Solution

The third proportional to 197,271.75 and 431,457.38 is: 943,649.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,271.75 : 431,457.38 = 431,457.38 : x
  2. Step 2: Convert to fraction form
    197,271.75/431,457.38 = 431,457.38/x
  3. Step 3: Cross multiply
    197,271.75x = 431,457.38 × 431,457.38
  4. Step 4: Simplify right side
    197,271.75x = 186,155,466,441.89
  5. Step 5: Solve for x
    x = 186,155,466,441.89/197,271.75
  6. Step 6: Final answer
    x = 943,649.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.