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Finding the Third Proportional to 139,421.25 and 304,830.21

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Solution

The third proportional to 139,421.25 and 304,830.21 is: 666,479.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,421.25 : 304,830.21 = 304,830.21 : x
  2. Step 2: Convert to fraction form
    139,421.25/304,830.21 = 304,830.21/x
  3. Step 3: Cross multiply
    139,421.25x = 304,830.21 × 304,830.21
  4. Step 4: Simplify right side
    139,421.25x = 92,921,457,500.20
  5. Step 5: Solve for x
    x = 92,921,457,500.20/139,421.25
  6. Step 6: Final answer
    x = 666,479.88

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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.