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Finding the Third Proportional to 146,257 and 316,501

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Solution

The third proportional to 146,257 and 316,501 is: 684,910.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,257 : 316,501 = 316,501 : x
  2. Step 2: Convert to fraction form
    146,257/316,501 = 316,501/x
  3. Step 3: Cross multiply
    146,257x = 316,501 × 316,501
  4. Step 4: Simplify right side
    146,257x = 100,172,883,001
  5. Step 5: Solve for x
    x = 100,172,883,001/146,257
  6. Step 6: Final answer
    x = 684,910.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.