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Finding the Third Proportional to 148,151 and 319,468

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Solution

The third proportional to 148,151 and 319,468 is: 688,890.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,151 : 319,468 = 319,468 : x
  2. Step 2: Convert to fraction form
    148,151/319,468 = 319,468/x
  3. Step 3: Cross multiply
    148,151x = 319,468 × 319,468
  4. Step 4: Simplify right side
    148,151x = 102,059,803,024
  5. Step 5: Solve for x
    x = 102,059,803,024/148,151
  6. Step 6: Final answer
    x = 688,890.41

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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.