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Finding the Third Proportional to 646,060 and 905,324

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Solution

The third proportional to 646,060 and 905,324 is: 1,268,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,060 : 905,324 = 905,324 : x
  2. Step 2: Convert to fraction form
    646,060/905,324 = 905,324/x
  3. Step 3: Cross multiply
    646,060x = 905,324 × 905,324
  4. Step 4: Simplify right side
    646,060x = 819,611,544,976
  5. Step 5: Solve for x
    x = 819,611,544,976/646,060
  6. Step 6: Final answer
    x = 1,268,630.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.