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Finding the Third Proportional to 405,122 and 879,364

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Solution

The third proportional to 405,122 and 879,364 is: 1,908,760.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,122 : 879,364 = 879,364 : x
  2. Step 2: Convert to fraction form
    405,122/879,364 = 879,364/x
  3. Step 3: Cross multiply
    405,122x = 879,364 × 879,364
  4. Step 4: Simplify right side
    405,122x = 773,281,044,496
  5. Step 5: Solve for x
    x = 773,281,044,496/405,122
  6. Step 6: Final answer
    x = 1,908,760.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.