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Finding the Third Proportional to 415,632 and 607,890

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Solution

The third proportional to 415,632 and 607,890 is: 889,080.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,632 : 607,890 = 607,890 : x
  2. Step 2: Convert to fraction form
    415,632/607,890 = 607,890/x
  3. Step 3: Cross multiply
    415,632x = 607,890 × 607,890
  4. Step 4: Simplify right side
    415,632x = 369,530,252,100
  5. Step 5: Solve for x
    x = 369,530,252,100/415,632
  6. Step 6: Final answer
    x = 889,080.37

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.