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Finding the Third Proportional to 391,570 and 565,315

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Solution

The third proportional to 391,570 and 565,315 is: 816,153.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,570 : 565,315 = 565,315 : x
  2. Step 2: Convert to fraction form
    391,570/565,315 = 565,315/x
  3. Step 3: Cross multiply
    391,570x = 565,315 × 565,315
  4. Step 4: Simplify right side
    391,570x = 319,581,049,225
  5. Step 5: Solve for x
    x = 319,581,049,225/391,570
  6. Step 6: Final answer
    x = 816,153.05

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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.