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Finding the Third Proportional to 309,166 and 671,207

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Solution

The third proportional to 309,166 and 671,207 is: 1,457,206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,166 : 671,207 = 671,207 : x
  2. Step 2: Convert to fraction form
    309,166/671,207 = 671,207/x
  3. Step 3: Cross multiply
    309,166x = 671,207 × 671,207
  4. Step 4: Simplify right side
    309,166x = 450,518,836,849
  5. Step 5: Solve for x
    x = 450,518,836,849/309,166
  6. Step 6: Final answer
    x = 1,457,206.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.