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Finding the Third Proportional to 182,621 and 398,461

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Solution

The third proportional to 182,621 and 398,461 is: 869,402.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,621 : 398,461 = 398,461 : x
  2. Step 2: Convert to fraction form
    182,621/398,461 = 398,461/x
  3. Step 3: Cross multiply
    182,621x = 398,461 × 398,461
  4. Step 4: Simplify right side
    182,621x = 158,771,168,521
  5. Step 5: Solve for x
    x = 158,771,168,521/182,621
  6. Step 6: Final answer
    x = 869,402.58

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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.