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Finding the Third Proportional to 711,403 and 1,085,172

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Solution

The third proportional to 711,403 and 1,085,172 is: 1,655,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,403 : 1,085,172 = 1,085,172 : x
  2. Step 2: Convert to fraction form
    711,403/1,085,172 = 1,085,172/x
  3. Step 3: Cross multiply
    711,403x = 1,085,172 × 1,085,172
  4. Step 4: Simplify right side
    711,403x = 1,177,598,269,584
  5. Step 5: Solve for x
    x = 1,177,598,269,584/711,403
  6. Step 6: Final answer
    x = 1,655,318.11

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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.