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Finding the Third Proportional to 347,128 and 528,022

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Solution

The third proportional to 347,128 and 528,022 is: 803,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,128 : 528,022 = 528,022 : x
  2. Step 2: Convert to fraction form
    347,128/528,022 = 528,022/x
  3. Step 3: Cross multiply
    347,128x = 528,022 × 528,022
  4. Step 4: Simplify right side
    347,128x = 278,807,232,484
  5. Step 5: Solve for x
    x = 278,807,232,484/347,128
  6. Step 6: Final answer
    x = 803,182.78

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.