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Finding the Third Proportional to 302,470 and 464,279

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Solution

The third proportional to 302,470 and 464,279 is: 712,649.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,470 : 464,279 = 464,279 : x
  2. Step 2: Convert to fraction form
    302,470/464,279 = 464,279/x
  3. Step 3: Cross multiply
    302,470x = 464,279 × 464,279
  4. Step 4: Simplify right side
    302,470x = 215,554,989,841
  5. Step 5: Solve for x
    x = 215,554,989,841/302,470
  6. Step 6: Final answer
    x = 712,649.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.