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Finding the Third Proportional to 551,967.75 and 830,688.75

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Solution

The third proportional to 551,967.75 and 830,688.75 is: 1,250,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,967.75 : 830,688.75 = 830,688.75 : x
  2. Step 2: Convert to fraction form
    551,967.75/830,688.75 = 830,688.75/x
  3. Step 3: Cross multiply
    551,967.75x = 830,688.75 × 830,688.75
  4. Step 4: Simplify right side
    551,967.75x = 690,043,799,376.56
  5. Step 5: Solve for x
    x = 690,043,799,376.56/551,967.75
  6. Step 6: Final answer
    x = 1,250,152.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.