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Finding the Third Proportional to 200,566 and 310,929

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Solution

The third proportional to 200,566 and 310,929 is: 482,020.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,566 : 310,929 = 310,929 : x
  2. Step 2: Convert to fraction form
    200,566/310,929 = 310,929/x
  3. Step 3: Cross multiply
    200,566x = 310,929 × 310,929
  4. Step 4: Simplify right side
    200,566x = 96,676,843,041
  5. Step 5: Solve for x
    x = 96,676,843,041/200,566
  6. Step 6: Final answer
    x = 482,020.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.