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Finding the Third Proportional to 508,880 and 672,840

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Solution

The third proportional to 508,880 and 672,840 is: 889,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,880 : 672,840 = 672,840 : x
  2. Step 2: Convert to fraction form
    508,880/672,840 = 672,840/x
  3. Step 3: Cross multiply
    508,880x = 672,840 × 672,840
  4. Step 4: Simplify right side
    508,880x = 452,713,665,600
  5. Step 5: Solve for x
    x = 452,713,665,600/508,880
  6. Step 6: Final answer
    x = 889,627.55

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.