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Finding the Third Proportional to 508,160 and 696,800

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Solution

The third proportional to 508,160 and 696,800 is: 955,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,160 : 696,800 = 696,800 : x
  2. Step 2: Convert to fraction form
    508,160/696,800 = 696,800/x
  3. Step 3: Cross multiply
    508,160x = 696,800 × 696,800
  4. Step 4: Simplify right side
    508,160x = 485,530,240,000
  5. Step 5: Solve for x
    x = 485,530,240,000/508,160
  6. Step 6: Final answer
    x = 955,467.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.