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Finding the Third Proportional to 226,070 and 316,078

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Solution

The third proportional to 226,070 and 316,078 is: 441,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,070 : 316,078 = 316,078 : x
  2. Step 2: Convert to fraction form
    226,070/316,078 = 316,078/x
  3. Step 3: Cross multiply
    226,070x = 316,078 × 316,078
  4. Step 4: Simplify right side
    226,070x = 99,905,302,084
  5. Step 5: Solve for x
    x = 99,905,302,084/226,070
  6. Step 6: Final answer
    x = 441,921.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.