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Finding the Third Proportional to 213,143 and 307,929

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Solution

The third proportional to 213,143 and 307,929 is: 444,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,143 : 307,929 = 307,929 : x
  2. Step 2: Convert to fraction form
    213,143/307,929 = 307,929/x
  3. Step 3: Cross multiply
    213,143x = 307,929 × 307,929
  4. Step 4: Simplify right side
    213,143x = 94,820,269,041
  5. Step 5: Solve for x
    x = 94,820,269,041/213,143
  6. Step 6: Final answer
    x = 444,866.92

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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.