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Finding the Third Proportional to 505,358 and 757,258

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Solution

The third proportional to 505,358 and 757,258 is: 1,134,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,358 : 757,258 = 757,258 : x
  2. Step 2: Convert to fraction form
    505,358/757,258 = 757,258/x
  3. Step 3: Cross multiply
    505,358x = 757,258 × 757,258
  4. Step 4: Simplify right side
    505,358x = 573,439,678,564
  5. Step 5: Solve for x
    x = 573,439,678,564/505,358
  6. Step 6: Final answer
    x = 1,134,719.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.