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Finding the Third Proportional to 377,274 and 810,730

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Solution

The third proportional to 377,274 and 810,730 is: 1,742,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,274 : 810,730 = 810,730 : x
  2. Step 2: Convert to fraction form
    377,274/810,730 = 810,730/x
  3. Step 3: Cross multiply
    377,274x = 810,730 × 810,730
  4. Step 4: Simplify right side
    377,274x = 657,283,132,900
  5. Step 5: Solve for x
    x = 657,283,132,900/377,274
  6. Step 6: Final answer
    x = 1,742,190.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.