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Finding the Third Proportional to 266,910 and 313,966.50

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Solution

The third proportional to 266,910 and 313,966.50 is: 369,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,910 : 313,966.50 = 313,966.50 : x
  2. Step 2: Convert to fraction form
    266,910/313,966.50 = 313,966.50/x
  3. Step 3: Cross multiply
    266,910x = 313,966.50 × 313,966.50
  4. Step 4: Simplify right side
    266,910x = 98,574,963,122.25
  5. Step 5: Solve for x
    x = 98,574,963,122.25/266,910
  6. Step 6: Final answer
    x = 369,319.11

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.