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Finding the Third Proportional to 147,659 and 316,299

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Solution

The third proportional to 147,659 and 316,299 is: 677,541.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,659 : 316,299 = 316,299 : x
  2. Step 2: Convert to fraction form
    147,659/316,299 = 316,299/x
  3. Step 3: Cross multiply
    147,659x = 316,299 × 316,299
  4. Step 4: Simplify right side
    147,659x = 100,045,057,401
  5. Step 5: Solve for x
    x = 100,045,057,401/147,659
  6. Step 6: Final answer
    x = 677,541.21

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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.