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Finding the Third Proportional to 148,284 and 319,725

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Solution

The third proportional to 148,284 and 319,725 is: 689,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,284 : 319,725 = 319,725 : x
  2. Step 2: Convert to fraction form
    148,284/319,725 = 319,725/x
  3. Step 3: Cross multiply
    148,284x = 319,725 × 319,725
  4. Step 4: Simplify right side
    148,284x = 102,224,075,625
  5. Step 5: Solve for x
    x = 102,224,075,625/148,284
  6. Step 6: Final answer
    x = 689,380.35

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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.