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Finding the Third Proportional to 310,842 and 671,310

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Solution

The third proportional to 310,842 and 671,310 is: 1,449,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,842 : 671,310 = 671,310 : x
  2. Step 2: Convert to fraction form
    310,842/671,310 = 671,310/x
  3. Step 3: Cross multiply
    310,842x = 671,310 × 671,310
  4. Step 4: Simplify right side
    310,842x = 450,657,116,100
  5. Step 5: Solve for x
    x = 450,657,116,100/310,842
  6. Step 6: Final answer
    x = 1,449,794.80

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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.