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Finding the Third Proportional to 319,311.56 and 688,194.94

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Solution

The third proportional to 319,311.56 and 688,194.94 is: 1,483,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,311.56 : 688,194.94 = 688,194.94 : x
  2. Step 2: Convert to fraction form
    319,311.56/688,194.94 = 688,194.94/x
  3. Step 3: Cross multiply
    319,311.56x = 688,194.94 × 688,194.94
  4. Step 4: Simplify right side
    319,311.56x = 473,612,272,000.63
  5. Step 5: Solve for x
    x = 473,612,272,000.63/319,311.56
  6. Step 6: Final answer
    x = 1,483,229.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.