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Finding the Third Proportional to 421,724 and 918,323

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Solution

The third proportional to 421,724 and 918,323 is: 1,999,689.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,724 : 918,323 = 918,323 : x
  2. Step 2: Convert to fraction form
    421,724/918,323 = 918,323/x
  3. Step 3: Cross multiply
    421,724x = 918,323 × 918,323
  4. Step 4: Simplify right side
    421,724x = 843,317,132,329
  5. Step 5: Solve for x
    x = 843,317,132,329/421,724
  6. Step 6: Final answer
    x = 1,999,689.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.