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Finding the Third Proportional to 358,272 and 782,040

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Solution

The third proportional to 358,272 and 782,040 is: 1,707,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,272 : 782,040 = 782,040 : x
  2. Step 2: Convert to fraction form
    358,272/782,040 = 782,040/x
  3. Step 3: Cross multiply
    358,272x = 782,040 × 782,040
  4. Step 4: Simplify right side
    358,272x = 611,586,561,600
  5. Step 5: Solve for x
    x = 611,586,561,600/358,272
  6. Step 6: Final answer
    x = 1,707,045.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.