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Finding the Third Proportional to 142,050 and 212,097

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Solution

The third proportional to 142,050 and 212,097 is: 316,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,050 : 212,097 = 212,097 : x
  2. Step 2: Convert to fraction form
    142,050/212,097 = 212,097/x
  3. Step 3: Cross multiply
    142,050x = 212,097 × 212,097
  4. Step 4: Simplify right side
    142,050x = 44,985,137,409
  5. Step 5: Solve for x
    x = 44,985,137,409/142,050
  6. Step 6: Final answer
    x = 316,685.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.