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Finding the Third Proportional to 438,056 and 938,320

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Solution

The third proportional to 438,056 and 938,320 is: 2,009,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,056 : 938,320 = 938,320 : x
  2. Step 2: Convert to fraction form
    438,056/938,320 = 938,320/x
  3. Step 3: Cross multiply
    438,056x = 938,320 × 938,320
  4. Step 4: Simplify right side
    438,056x = 880,444,422,400
  5. Step 5: Solve for x
    x = 880,444,422,400/438,056
  6. Step 6: Final answer
    x = 2,009,890.11

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.