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Finding the Third Proportional to 314,484 and 664,464

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Solution

The third proportional to 314,484 and 664,464 is: 1,403,926.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,484 : 664,464 = 664,464 : x
  2. Step 2: Convert to fraction form
    314,484/664,464 = 664,464/x
  3. Step 3: Cross multiply
    314,484x = 664,464 × 664,464
  4. Step 4: Simplify right side
    314,484x = 441,512,407,296
  5. Step 5: Solve for x
    x = 441,512,407,296/314,484
  6. Step 6: Final answer
    x = 1,403,926.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.