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Finding the Third Proportional to 551,580.50 and 843,409

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Solution

The third proportional to 551,580.50 and 843,409 is: 1,289,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,580.50 : 843,409 = 843,409 : x
  2. Step 2: Convert to fraction form
    551,580.50/843,409 = 843,409/x
  3. Step 3: Cross multiply
    551,580.50x = 843,409 × 843,409
  4. Step 4: Simplify right side
    551,580.50x = 711,338,741,281
  5. Step 5: Solve for x
    x = 711,338,741,281/551,580.50
  6. Step 6: Final answer
    x = 1,289,637.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.