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Finding the Third Proportional to 688,533.75 and 914,699.25

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Solution

The third proportional to 688,533.75 and 914,699.25 is: 1,215,154.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,533.75 : 914,699.25 = 914,699.25 : x
  2. Step 2: Convert to fraction form
    688,533.75/914,699.25 = 914,699.25/x
  3. Step 3: Cross multiply
    688,533.75x = 914,699.25 × 914,699.25
  4. Step 4: Simplify right side
    688,533.75x = 836,674,717,950.56
  5. Step 5: Solve for x
    x = 836,674,717,950.56/688,533.75
  6. Step 6: Final answer
    x = 1,215,154.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.