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Finding the Third Proportional to 671,613 and 930,861

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Solution

The third proportional to 671,613 and 930,861 is: 1,290,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,613 : 930,861 = 930,861 : x
  2. Step 2: Convert to fraction form
    671,613/930,861 = 930,861/x
  3. Step 3: Cross multiply
    671,613x = 930,861 × 930,861
  4. Step 4: Simplify right side
    671,613x = 866,502,201,321
  5. Step 5: Solve for x
    x = 866,502,201,321/671,613
  6. Step 6: Final answer
    x = 1,290,180.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.