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Finding the Third Proportional to 276,810 and 605,316

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Solution

The third proportional to 276,810 and 605,316 is: 1,323,678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,810 : 605,316 = 605,316 : x
  2. Step 2: Convert to fraction form
    276,810/605,316 = 605,316/x
  3. Step 3: Cross multiply
    276,810x = 605,316 × 605,316
  4. Step 4: Simplify right side
    276,810x = 366,407,459,856
  5. Step 5: Solve for x
    x = 366,407,459,856/276,810
  6. Step 6: Final answer
    x = 1,323,678.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.