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Finding the Third Proportional to 102,802 and 161,303

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Solution

The third proportional to 102,802 and 161,303 is: 253,094.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,802 : 161,303 = 161,303 : x
  2. Step 2: Convert to fraction form
    102,802/161,303 = 161,303/x
  3. Step 3: Cross multiply
    102,802x = 161,303 × 161,303
  4. Step 4: Simplify right side
    102,802x = 26,018,657,809
  5. Step 5: Solve for x
    x = 26,018,657,809/102,802
  6. Step 6: Final answer
    x = 253,094.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.