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Finding the Third Proportional to 438,052 and 896,840

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Solution

The third proportional to 438,052 and 896,840 is: 1,836,133.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,052 : 896,840 = 896,840 : x
  2. Step 2: Convert to fraction form
    438,052/896,840 = 896,840/x
  3. Step 3: Cross multiply
    438,052x = 896,840 × 896,840
  4. Step 4: Simplify right side
    438,052x = 804,321,985,600
  5. Step 5: Solve for x
    x = 804,321,985,600/438,052
  6. Step 6: Final answer
    x = 1,836,133.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.