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Finding the Third Proportional to 207,788 and 316,056

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Solution

The third proportional to 207,788 and 316,056 is: 480,737.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,788 : 316,056 = 316,056 : x
  2. Step 2: Convert to fraction form
    207,788/316,056 = 316,056/x
  3. Step 3: Cross multiply
    207,788x = 316,056 × 316,056
  4. Step 4: Simplify right side
    207,788x = 99,891,395,136
  5. Step 5: Solve for x
    x = 99,891,395,136/207,788
  6. Step 6: Final answer
    x = 480,737.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.