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Finding the Third Proportional to 310,915 and 671,456

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Solution

The third proportional to 310,915 and 671,456 is: 1,450,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,915 : 671,456 = 671,456 : x
  2. Step 2: Convert to fraction form
    310,915/671,456 = 671,456/x
  3. Step 3: Cross multiply
    310,915x = 671,456 × 671,456
  4. Step 4: Simplify right side
    310,915x = 450,853,159,936
  5. Step 5: Solve for x
    x = 450,853,159,936/310,915
  6. Step 6: Final answer
    x = 1,450,084.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.