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Finding the Third Proportional to 391,678 and 528,465

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Solution

The third proportional to 391,678 and 528,465 is: 713,022.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,678 : 528,465 = 528,465 : x
  2. Step 2: Convert to fraction form
    391,678/528,465 = 528,465/x
  3. Step 3: Cross multiply
    391,678x = 528,465 × 528,465
  4. Step 4: Simplify right side
    391,678x = 279,275,256,225
  5. Step 5: Solve for x
    x = 279,275,256,225/391,678
  6. Step 6: Final answer
    x = 713,022.58

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.