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Finding the Third Proportional to 148,159 and 319,484

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Solution

The third proportional to 148,159 and 319,484 is: 688,922.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,159 : 319,484 = 319,484 : x
  2. Step 2: Convert to fraction form
    148,159/319,484 = 319,484/x
  3. Step 3: Cross multiply
    148,159x = 319,484 × 319,484
  4. Step 4: Simplify right side
    148,159x = 102,070,026,256
  5. Step 5: Solve for x
    x = 102,070,026,256/148,159
  6. Step 6: Final answer
    x = 688,922.21

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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.