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Finding the Third Proportional to 616,008 and 921,504

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Solution

The third proportional to 616,008 and 921,504 is: 1,378,504.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,008 : 921,504 = 921,504 : x
  2. Step 2: Convert to fraction form
    616,008/921,504 = 921,504/x
  3. Step 3: Cross multiply
    616,008x = 921,504 × 921,504
  4. Step 4: Simplify right side
    616,008x = 849,169,622,016
  5. Step 5: Solve for x
    x = 849,169,622,016/616,008
  6. Step 6: Final answer
    x = 1,378,504.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.