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Finding the Third Proportional to 316,787 and 689,341

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Solution

The third proportional to 316,787 and 689,341 is: 1,500,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,787 : 689,341 = 689,341 : x
  2. Step 2: Convert to fraction form
    316,787/689,341 = 689,341/x
  3. Step 3: Cross multiply
    316,787x = 689,341 × 689,341
  4. Step 4: Simplify right side
    316,787x = 475,191,014,281
  5. Step 5: Solve for x
    x = 475,191,014,281/316,787
  6. Step 6: Final answer
    x = 1,500,033.19

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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.