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Finding the Third Proportional to 438,944 and 696,484

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Solution

The third proportional to 438,944 and 696,484 is: 1,105,129.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,944 : 696,484 = 696,484 : x
  2. Step 2: Convert to fraction form
    438,944/696,484 = 696,484/x
  3. Step 3: Cross multiply
    438,944x = 696,484 × 696,484
  4. Step 4: Simplify right side
    438,944x = 485,089,962,256
  5. Step 5: Solve for x
    x = 485,089,962,256/438,944
  6. Step 6: Final answer
    x = 1,105,129.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.