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Finding the Third Proportional to 314,988 and 486,414

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Solution

The third proportional to 314,988 and 486,414 is: 751,135.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,988 : 486,414 = 486,414 : x
  2. Step 2: Convert to fraction form
    314,988/486,414 = 486,414/x
  3. Step 3: Cross multiply
    314,988x = 486,414 × 486,414
  4. Step 4: Simplify right side
    314,988x = 236,598,579,396
  5. Step 5: Solve for x
    x = 236,598,579,396/314,988
  6. Step 6: Final answer
    x = 751,135.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.