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Finding the Third Proportional to 390,122 and 843,058

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Solution

The third proportional to 390,122 and 843,058 is: 1,821,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,122 : 843,058 = 843,058 : x
  2. Step 2: Convert to fraction form
    390,122/843,058 = 843,058/x
  3. Step 3: Cross multiply
    390,122x = 843,058 × 843,058
  4. Step 4: Simplify right side
    390,122x = 710,746,791,364
  5. Step 5: Solve for x
    x = 710,746,791,364/390,122
  6. Step 6: Final answer
    x = 1,821,857.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.