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Finding the Third Proportional to 515,294.79 and 677,611.20

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Solution

The third proportional to 515,294.79 and 677,611.20 is: 891,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,294.79 : 677,611.20 = 677,611.20 : x
  2. Step 2: Convert to fraction form
    515,294.79/677,611.20 = 677,611.20/x
  3. Step 3: Cross multiply
    515,294.79x = 677,611.20 × 677,611.20
  4. Step 4: Simplify right side
    515,294.79x = 459,156,932,012.84
  5. Step 5: Solve for x
    x = 459,156,932,012.84/515,294.79
  6. Step 6: Final answer
    x = 891,056.81

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.