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Finding the Third Proportional to 157,468 and 212,145

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Solution

The third proportional to 157,468 and 212,145 is: 285,807.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,468 : 212,145 = 212,145 : x
  2. Step 2: Convert to fraction form
    157,468/212,145 = 212,145/x
  3. Step 3: Cross multiply
    157,468x = 212,145 × 212,145
  4. Step 4: Simplify right side
    157,468x = 45,005,501,025
  5. Step 5: Solve for x
    x = 45,005,501,025/157,468
  6. Step 6: Final answer
    x = 285,807.28

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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.