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Finding the Third Proportional to 370,391 and 811,560

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Solution

The third proportional to 370,391 and 811,560 is: 1,778,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,391 : 811,560 = 811,560 : x
  2. Step 2: Convert to fraction form
    370,391/811,560 = 811,560/x
  3. Step 3: Cross multiply
    370,391x = 811,560 × 811,560
  4. Step 4: Simplify right side
    370,391x = 658,629,633,600
  5. Step 5: Solve for x
    x = 658,629,633,600/370,391
  6. Step 6: Final answer
    x = 1,778,200.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.