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Finding the Third Proportional to 316,038 and 688,884

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Solution

The third proportional to 316,038 and 688,884 is: 1,501,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,038 : 688,884 = 688,884 : x
  2. Step 2: Convert to fraction form
    316,038/688,884 = 688,884/x
  3. Step 3: Cross multiply
    316,038x = 688,884 × 688,884
  4. Step 4: Simplify right side
    316,038x = 474,561,165,456
  5. Step 5: Solve for x
    x = 474,561,165,456/316,038
  6. Step 6: Final answer
    x = 1,501,595.27

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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.