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Finding the Third Proportional to 306,132 and 671,340

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Solution

The third proportional to 306,132 and 671,340 is: 1,472,232.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,132 : 671,340 = 671,340 : x
  2. Step 2: Convert to fraction form
    306,132/671,340 = 671,340/x
  3. Step 3: Cross multiply
    306,132x = 671,340 × 671,340
  4. Step 4: Simplify right side
    306,132x = 450,697,395,600
  5. Step 5: Solve for x
    x = 450,697,395,600/306,132
  6. Step 6: Final answer
    x = 1,472,232.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.