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Finding the Third Proportional to 148,549 and 320,770

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Solution

The third proportional to 148,549 and 320,770 is: 692,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,549 : 320,770 = 320,770 : x
  2. Step 2: Convert to fraction form
    148,549/320,770 = 320,770/x
  3. Step 3: Cross multiply
    148,549x = 320,770 × 320,770
  4. Step 4: Simplify right side
    148,549x = 102,893,392,900
  5. Step 5: Solve for x
    x = 102,893,392,900/148,549
  6. Step 6: Final answer
    x = 692,656.25

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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.