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Finding the Third Proportional to 207,210 and 309,536

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Solution

The third proportional to 207,210 and 309,536 is: 462,393.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,210 : 309,536 = 309,536 : x
  2. Step 2: Convert to fraction form
    207,210/309,536 = 309,536/x
  3. Step 3: Cross multiply
    207,210x = 309,536 × 309,536
  4. Step 4: Simplify right side
    207,210x = 95,812,535,296
  5. Step 5: Solve for x
    x = 95,812,535,296/207,210
  6. Step 6: Final answer
    x = 462,393.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.