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Finding the Third Proportional to 370,407 and 560,774

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Solution

The third proportional to 370,407 and 560,774 is: 848,978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,407 : 560,774 = 560,774 : x
  2. Step 2: Convert to fraction form
    370,407/560,774 = 560,774/x
  3. Step 3: Cross multiply
    370,407x = 560,774 × 560,774
  4. Step 4: Simplify right side
    370,407x = 314,467,479,076
  5. Step 5: Solve for x
    x = 314,467,479,076/370,407
  6. Step 6: Final answer
    x = 848,978.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.