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Finding the Third Proportional to 391,670 and 528,455

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Solution

The third proportional to 391,670 and 528,455 is: 713,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,670 : 528,455 = 528,455 : x
  2. Step 2: Convert to fraction form
    391,670/528,455 = 528,455/x
  3. Step 3: Cross multiply
    391,670x = 528,455 × 528,455
  4. Step 4: Simplify right side
    391,670x = 279,264,687,025
  5. Step 5: Solve for x
    x = 279,264,687,025/391,670
  6. Step 6: Final answer
    x = 713,010.15

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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.