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Finding the Third Proportional to 281,929 and 407,338.50

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Solution

The third proportional to 281,929 and 407,338.50 is: 588,533.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,929 : 407,338.50 = 407,338.50 : x
  2. Step 2: Convert to fraction form
    281,929/407,338.50 = 407,338.50/x
  3. Step 3: Cross multiply
    281,929x = 407,338.50 × 407,338.50
  4. Step 4: Simplify right side
    281,929x = 165,924,653,582.25
  5. Step 5: Solve for x
    x = 165,924,653,582.25/281,929
  6. Step 6: Final answer
    x = 588,533.47

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.