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Finding the Third Proportional to 147,447 and 319,863

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Solution

The third proportional to 147,447 and 319,863 is: 693,892.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,447 : 319,863 = 319,863 : x
  2. Step 2: Convert to fraction form
    147,447/319,863 = 319,863/x
  3. Step 3: Cross multiply
    147,447x = 319,863 × 319,863
  4. Step 4: Simplify right side
    147,447x = 102,312,338,769
  5. Step 5: Solve for x
    x = 102,312,338,769/147,447
  6. Step 6: Final answer
    x = 693,892.31

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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.