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Finding the Third Proportional to 578,112 and 908,080

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Solution

The third proportional to 578,112 and 908,080 is: 1,426,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,112 : 908,080 = 908,080 : x
  2. Step 2: Convert to fraction form
    578,112/908,080 = 908,080/x
  3. Step 3: Cross multiply
    578,112x = 908,080 × 908,080
  4. Step 4: Simplify right side
    578,112x = 824,609,286,400
  5. Step 5: Solve for x
    x = 824,609,286,400/578,112
  6. Step 6: Final answer
    x = 1,426,383.27

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.