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Finding the Third Proportional to 438,270 and 910,236

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Solution

The third proportional to 438,270 and 910,236 is: 1,890,454.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,270 : 910,236 = 910,236 : x
  2. Step 2: Convert to fraction form
    438,270/910,236 = 910,236/x
  3. Step 3: Cross multiply
    438,270x = 910,236 × 910,236
  4. Step 4: Simplify right side
    438,270x = 828,529,575,696
  5. Step 5: Solve for x
    x = 828,529,575,696/438,270
  6. Step 6: Final answer
    x = 1,890,454.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.