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Finding the Third Proportional to 400,437 and 711,834

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Solution

The third proportional to 400,437 and 711,834 is: 1,265,386.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,437 : 711,834 = 711,834 : x
  2. Step 2: Convert to fraction form
    400,437/711,834 = 711,834/x
  3. Step 3: Cross multiply
    400,437x = 711,834 × 711,834
  4. Step 4: Simplify right side
    400,437x = 506,707,643,556
  5. Step 5: Solve for x
    x = 506,707,643,556/400,437
  6. Step 6: Final answer
    x = 1,265,386.67

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.