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Finding the Third Proportional to 720,543 and 1,105,236

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Solution

The third proportional to 720,543 and 1,105,236 is: 1,695,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,543 : 1,105,236 = 1,105,236 : x
  2. Step 2: Convert to fraction form
    720,543/1,105,236 = 1,105,236/x
  3. Step 3: Cross multiply
    720,543x = 1,105,236 × 1,105,236
  4. Step 4: Simplify right side
    720,543x = 1,221,546,615,696
  5. Step 5: Solve for x
    x = 1,221,546,615,696/720,543
  6. Step 6: Final answer
    x = 1,695,313.97

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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.