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Finding the Third Proportional to 307,560 and 413,770

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Solution

The third proportional to 307,560 and 413,770 is: 556,657.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,560 : 413,770 = 413,770 : x
  2. Step 2: Convert to fraction form
    307,560/413,770 = 413,770/x
  3. Step 3: Cross multiply
    307,560x = 413,770 × 413,770
  4. Step 4: Simplify right side
    307,560x = 171,205,612,900
  5. Step 5: Solve for x
    x = 171,205,612,900/307,560
  6. Step 6: Final answer
    x = 556,657.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.