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Finding the Third Proportional to 590,658 and 908,991

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Solution

The third proportional to 590,658 and 908,991 is: 1,398,888.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,658 : 908,991 = 908,991 : x
  2. Step 2: Convert to fraction form
    590,658/908,991 = 908,991/x
  3. Step 3: Cross multiply
    590,658x = 908,991 × 908,991
  4. Step 4: Simplify right side
    590,658x = 826,264,638,081
  5. Step 5: Solve for x
    x = 826,264,638,081/590,658
  6. Step 6: Final answer
    x = 1,398,888.42

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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.