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Finding the Third Proportional to 299,315 and 464,712

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Solution

The third proportional to 299,315 and 464,712 is: 721,504.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,315 : 464,712 = 464,712 : x
  2. Step 2: Convert to fraction form
    299,315/464,712 = 464,712/x
  3. Step 3: Cross multiply
    299,315x = 464,712 × 464,712
  4. Step 4: Simplify right side
    299,315x = 215,957,242,944
  5. Step 5: Solve for x
    x = 215,957,242,944/299,315
  6. Step 6: Final answer
    x = 721,504.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.