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Finding the Third Proportional to 357,520 and 739,786

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Solution

The third proportional to 357,520 and 739,786 is: 1,530,776.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,520 : 739,786 = 739,786 : x
  2. Step 2: Convert to fraction form
    357,520/739,786 = 739,786/x
  3. Step 3: Cross multiply
    357,520x = 739,786 × 739,786
  4. Step 4: Simplify right side
    357,520x = 547,283,325,796
  5. Step 5: Solve for x
    x = 547,283,325,796/357,520
  6. Step 6: Final answer
    x = 1,530,776.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.