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Finding the Third Proportional to 538,416 and 830,088

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Solution

The third proportional to 538,416 and 830,088 is: 1,279,765.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,416 : 830,088 = 830,088 : x
  2. Step 2: Convert to fraction form
    538,416/830,088 = 830,088/x
  3. Step 3: Cross multiply
    538,416x = 830,088 × 830,088
  4. Step 4: Simplify right side
    538,416x = 689,046,087,744
  5. Step 5: Solve for x
    x = 689,046,087,744/538,416
  6. Step 6: Final answer
    x = 1,279,765.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.