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Finding the Third Proportional to 153,008 and 252,855

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Solution

The third proportional to 153,008 and 252,855 is: 417,858.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,008 : 252,855 = 252,855 : x
  2. Step 2: Convert to fraction form
    153,008/252,855 = 252,855/x
  3. Step 3: Cross multiply
    153,008x = 252,855 × 252,855
  4. Step 4: Simplify right side
    153,008x = 63,935,651,025
  5. Step 5: Solve for x
    x = 63,935,651,025/153,008
  6. Step 6: Final answer
    x = 417,858.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.