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Finding the Third Proportional to 310,581 and 665,415

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Solution

The third proportional to 310,581 and 665,415 is: 1,425,641.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,581 : 665,415 = 665,415 : x
  2. Step 2: Convert to fraction form
    310,581/665,415 = 665,415/x
  3. Step 3: Cross multiply
    310,581x = 665,415 × 665,415
  4. Step 4: Simplify right side
    310,581x = 442,777,122,225
  5. Step 5: Solve for x
    x = 442,777,122,225/310,581
  6. Step 6: Final answer
    x = 1,425,641.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.