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Finding the Third Proportional to 360,970 and 529,142

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Solution

The third proportional to 360,970 and 529,142 is: 775,663.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,970 : 529,142 = 529,142 : x
  2. Step 2: Convert to fraction form
    360,970/529,142 = 529,142/x
  3. Step 3: Cross multiply
    360,970x = 529,142 × 529,142
  4. Step 4: Simplify right side
    360,970x = 279,991,256,164
  5. Step 5: Solve for x
    x = 279,991,256,164/360,970
  6. Step 6: Final answer
    x = 775,663.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.