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Finding the Third Proportional to 415,260 and 640,598

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Solution

The third proportional to 415,260 and 640,598 is: 988,214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,260 : 640,598 = 640,598 : x
  2. Step 2: Convert to fraction form
    415,260/640,598 = 640,598/x
  3. Step 3: Cross multiply
    415,260x = 640,598 × 640,598
  4. Step 4: Simplify right side
    415,260x = 410,365,797,604
  5. Step 5: Solve for x
    x = 410,365,797,604/415,260
  6. Step 6: Final answer
    x = 988,214.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.