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Finding the Third Proportional to 435,888 and 656,343

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Solution

The third proportional to 435,888 and 656,343 is: 988,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,888 : 656,343 = 656,343 : x
  2. Step 2: Convert to fraction form
    435,888/656,343 = 656,343/x
  3. Step 3: Cross multiply
    435,888x = 656,343 × 656,343
  4. Step 4: Simplify right side
    435,888x = 430,786,133,649
  5. Step 5: Solve for x
    x = 430,786,133,649/435,888
  6. Step 6: Final answer
    x = 988,295.47

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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.