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Finding the Third Proportional to 157,563 and 212,283

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Solution

The third proportional to 157,563 and 212,283 is: 286,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,563 : 212,283 = 212,283 : x
  2. Step 2: Convert to fraction form
    157,563/212,283 = 212,283/x
  3. Step 3: Cross multiply
    157,563x = 212,283 × 212,283
  4. Step 4: Simplify right side
    157,563x = 45,064,072,089
  5. Step 5: Solve for x
    x = 45,064,072,089/157,563
  6. Step 6: Final answer
    x = 286,006.69

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.