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Finding the Third Proportional to 618,836 and 984,688

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Solution

The third proportional to 618,836 and 984,688 is: 1,566,829.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,836 : 984,688 = 984,688 : x
  2. Step 2: Convert to fraction form
    618,836/984,688 = 984,688/x
  3. Step 3: Cross multiply
    618,836x = 984,688 × 984,688
  4. Step 4: Simplify right side
    618,836x = 969,610,457,344
  5. Step 5: Solve for x
    x = 969,610,457,344/618,836
  6. Step 6: Final answer
    x = 1,566,829.43

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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.