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Finding the Third Proportional to 289,829.25 and 426,346.88

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Solution

The third proportional to 289,829.25 and 426,346.88 is: 627,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,829.25 : 426,346.88 = 426,346.88 : x
  2. Step 2: Convert to fraction form
    289,829.25/426,346.88 = 426,346.88/x
  3. Step 3: Cross multiply
    289,829.25x = 426,346.88 × 426,346.88
  4. Step 4: Simplify right side
    289,829.25x = 181,771,657,822.27
  5. Step 5: Solve for x
    x = 181,771,657,822.27/289,829.25
  6. Step 6: Final answer
    x = 627,168.09

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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.