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Finding the Third Proportional to 310,944 and 671,040

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Solution

The third proportional to 310,944 and 671,040 is: 1,448,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,944 : 671,040 = 671,040 : x
  2. Step 2: Convert to fraction form
    310,944/671,040 = 671,040/x
  3. Step 3: Cross multiply
    310,944x = 671,040 × 671,040
  4. Step 4: Simplify right side
    310,944x = 450,294,681,600
  5. Step 5: Solve for x
    x = 450,294,681,600/310,944
  6. Step 6: Final answer
    x = 1,448,153.63

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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.