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Finding the Third Proportional to 510,807 and 770,097

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Solution

The third proportional to 510,807 and 770,097 is: 1,161,004.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,807 : 770,097 = 770,097 : x
  2. Step 2: Convert to fraction form
    510,807/770,097 = 770,097/x
  3. Step 3: Cross multiply
    510,807x = 770,097 × 770,097
  4. Step 4: Simplify right side
    510,807x = 593,049,389,409
  5. Step 5: Solve for x
    x = 593,049,389,409/510,807
  6. Step 6: Final answer
    x = 1,161,004.82

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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.