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Finding the Third Proportional to 315,557 and 688,939

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Solution

The third proportional to 315,557 and 688,939 is: 1,504,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,557 : 688,939 = 688,939 : x
  2. Step 2: Convert to fraction form
    315,557/688,939 = 688,939/x
  3. Step 3: Cross multiply
    315,557x = 688,939 × 688,939
  4. Step 4: Simplify right side
    315,557x = 474,636,945,721
  5. Step 5: Solve for x
    x = 474,636,945,721/315,557
  6. Step 6: Final answer
    x = 1,504,124.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.