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Finding the Third Proportional to 310,085 and 420,830

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Solution

The third proportional to 310,085 and 420,830 is: 571,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,085 : 420,830 = 420,830 : x
  2. Step 2: Convert to fraction form
    310,085/420,830 = 420,830/x
  3. Step 3: Cross multiply
    310,085x = 420,830 × 420,830
  4. Step 4: Simplify right side
    310,085x = 177,097,888,900
  5. Step 5: Solve for x
    x = 177,097,888,900/310,085
  6. Step 6: Final answer
    x = 571,126.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.