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Finding the Third Proportional to 312,225 and 646,602

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Solution

The third proportional to 312,225 and 646,602 is: 1,339,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,225 : 646,602 = 646,602 : x
  2. Step 2: Convert to fraction form
    312,225/646,602 = 646,602/x
  3. Step 3: Cross multiply
    312,225x = 646,602 × 646,602
  4. Step 4: Simplify right side
    312,225x = 418,094,146,404
  5. Step 5: Solve for x
    x = 418,094,146,404/312,225
  6. Step 6: Final answer
    x = 1,339,079.66

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.