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Finding the Third Proportional to 315,272 and 671,440

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Solution

The third proportional to 315,272 and 671,440 is: 1,429,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,272 : 671,440 = 671,440 : x
  2. Step 2: Convert to fraction form
    315,272/671,440 = 671,440/x
  3. Step 3: Cross multiply
    315,272x = 671,440 × 671,440
  4. Step 4: Simplify right side
    315,272x = 450,831,673,600
  5. Step 5: Solve for x
    x = 450,831,673,600/315,272
  6. Step 6: Final answer
    x = 1,429,976.89

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.