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Finding the Third Proportional to 510,720 and 773,190

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Solution

The third proportional to 510,720 and 773,190 is: 1,170,548.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,720 : 773,190 = 773,190 : x
  2. Step 2: Convert to fraction form
    510,720/773,190 = 773,190/x
  3. Step 3: Cross multiply
    510,720x = 773,190 × 773,190
  4. Step 4: Simplify right side
    510,720x = 597,822,776,100
  5. Step 5: Solve for x
    x = 597,822,776,100/510,720
  6. Step 6: Final answer
    x = 1,170,548.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.