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Finding the Third Proportional to 315,861 and 690,772

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Solution

The third proportional to 315,861 and 690,772 is: 1,510,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,861 : 690,772 = 690,772 : x
  2. Step 2: Convert to fraction form
    315,861/690,772 = 690,772/x
  3. Step 3: Cross multiply
    315,861x = 690,772 × 690,772
  4. Step 4: Simplify right side
    315,861x = 477,165,955,984
  5. Step 5: Solve for x
    x = 477,165,955,984/315,861
  6. Step 6: Final answer
    x = 1,510,683.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.