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Finding the Third Proportional to 84,153 and 181,428

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Solution

The third proportional to 84,153 and 181,428 is: 391,146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,153 : 181,428 = 181,428 : x
  2. Step 2: Convert to fraction form
    84,153/181,428 = 181,428/x
  3. Step 3: Cross multiply
    84,153x = 181,428 × 181,428
  4. Step 4: Simplify right side
    84,153x = 32,916,119,184
  5. Step 5: Solve for x
    x = 32,916,119,184/84,153
  6. Step 6: Final answer
    x = 391,146.12

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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.