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Finding the Third Proportional to 74,799 and 161,490

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Solution

The third proportional to 74,799 and 161,490 is: 348,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,799 : 161,490 = 161,490 : x
  2. Step 2: Convert to fraction form
    74,799/161,490 = 161,490/x
  3. Step 3: Cross multiply
    74,799x = 161,490 × 161,490
  4. Step 4: Simplify right side
    74,799x = 26,079,020,100
  5. Step 5: Solve for x
    x = 26,079,020,100/74,799
  6. Step 6: Final answer
    x = 348,654.66

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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.