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Finding the Third Proportional to 384,590 and 838,840

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Solution

The third proportional to 384,590 and 838,840 is: 1,829,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,590 : 838,840 = 838,840 : x
  2. Step 2: Convert to fraction form
    384,590/838,840 = 838,840/x
  3. Step 3: Cross multiply
    384,590x = 838,840 × 838,840
  4. Step 4: Simplify right side
    384,590x = 703,652,545,600
  5. Step 5: Solve for x
    x = 703,652,545,600/384,590
  6. Step 6: Final answer
    x = 1,829,617.37

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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.