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Finding the Third Proportional to 310,809 and 464,297

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Solution

The third proportional to 310,809 and 464,297 is: 693,582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,809 : 464,297 = 464,297 : x
  2. Step 2: Convert to fraction form
    310,809/464,297 = 464,297/x
  3. Step 3: Cross multiply
    310,809x = 464,297 × 464,297
  4. Step 4: Simplify right side
    310,809x = 215,571,704,209
  5. Step 5: Solve for x
    x = 215,571,704,209/310,809
  6. Step 6: Final answer
    x = 693,582.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.