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Finding the Third Proportional to 291,260 and 391,145

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Solution

The third proportional to 291,260 and 391,145 is: 525,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,260 : 391,145 = 391,145 : x
  2. Step 2: Convert to fraction form
    291,260/391,145 = 391,145/x
  3. Step 3: Cross multiply
    291,260x = 391,145 × 391,145
  4. Step 4: Simplify right side
    291,260x = 152,994,411,025
  5. Step 5: Solve for x
    x = 152,994,411,025/291,260
  6. Step 6: Final answer
    x = 525,284.66

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.