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Finding the Third Proportional to 261,560 and 370,210

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Solution

The third proportional to 261,560 and 370,210 is: 523,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,560 : 370,210 = 370,210 : x
  2. Step 2: Convert to fraction form
    261,560/370,210 = 370,210/x
  3. Step 3: Cross multiply
    261,560x = 370,210 × 370,210
  4. Step 4: Simplify right side
    261,560x = 137,055,444,100
  5. Step 5: Solve for x
    x = 137,055,444,100/261,560
  6. Step 6: Final answer
    x = 523,992.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.