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Finding the Third Proportional to 312,306 and 671,970

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Solution

The third proportional to 312,306 and 671,970 is: 1,445,837.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,306 : 671,970 = 671,970 : x
  2. Step 2: Convert to fraction form
    312,306/671,970 = 671,970/x
  3. Step 3: Cross multiply
    312,306x = 671,970 × 671,970
  4. Step 4: Simplify right side
    312,306x = 451,543,680,900
  5. Step 5: Solve for x
    x = 451,543,680,900/312,306
  6. Step 6: Final answer
    x = 1,445,837.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.