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Finding the Third Proportional to 401,154.75 and 589,453.88

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Solution

The third proportional to 401,154.75 and 589,453.88 is: 866,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,154.75 : 589,453.88 = 589,453.88 : x
  2. Step 2: Convert to fraction form
    401,154.75/589,453.88 = 589,453.88/x
  3. Step 3: Cross multiply
    401,154.75x = 589,453.88 × 589,453.88
  4. Step 4: Simplify right side
    401,154.75x = 347,455,870,752.52
  5. Step 5: Solve for x
    x = 347,455,870,752.52/401,154.75
  6. Step 6: Final answer
    x = 866,139.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.