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Finding the Third Proportional to 157,439 and 183,031

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Solution

The third proportional to 157,439 and 183,031 is: 212,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,439 : 183,031 = 183,031 : x
  2. Step 2: Convert to fraction form
    157,439/183,031 = 183,031/x
  3. Step 3: Cross multiply
    157,439x = 183,031 × 183,031
  4. Step 4: Simplify right side
    157,439x = 33,500,346,961
  5. Step 5: Solve for x
    x = 33,500,346,961/157,439
  6. Step 6: Final answer
    x = 212,783.03

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.