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Finding the Third Proportional to 316,552.50 and 693,138.94

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Solution

The third proportional to 316,552.50 and 693,138.94 is: 1,517,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,552.50 : 693,138.94 = 693,138.94 : x
  2. Step 2: Convert to fraction form
    316,552.50/693,138.94 = 693,138.94/x
  3. Step 3: Cross multiply
    316,552.50x = 693,138.94 × 693,138.94
  4. Step 4: Simplify right side
    316,552.50x = 480,441,586,678.63
  5. Step 5: Solve for x
    x = 480,441,586,678.63/316,552.50
  6. Step 6: Final answer
    x = 1,517,731.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.