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Finding the Third Proportional to 551,000 and 851,435

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Solution

The third proportional to 551,000 and 851,435 is: 1,315,683.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,000 : 851,435 = 851,435 : x
  2. Step 2: Convert to fraction form
    551,000/851,435 = 851,435/x
  3. Step 3: Cross multiply
    551,000x = 851,435 × 851,435
  4. Step 4: Simplify right side
    551,000x = 724,941,559,225
  5. Step 5: Solve for x
    x = 724,941,559,225/551,000
  6. Step 6: Final answer
    x = 1,315,683.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.