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Finding the Third Proportional to 391,574 and 565,321

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Solution

The third proportional to 391,574 and 565,321 is: 816,162.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,574 : 565,321 = 565,321 : x
  2. Step 2: Convert to fraction form
    391,574/565,321 = 565,321/x
  3. Step 3: Cross multiply
    391,574x = 565,321 × 565,321
  4. Step 4: Simplify right side
    391,574x = 319,587,833,041
  5. Step 5: Solve for x
    x = 319,587,833,041/391,574
  6. Step 6: Final answer
    x = 816,162.04

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.