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Finding the Third Proportional to 428,640 and 916,328

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Solution

The third proportional to 428,640 and 916,328 is: 1,958,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,640 : 916,328 = 916,328 : x
  2. Step 2: Convert to fraction form
    428,640/916,328 = 916,328/x
  3. Step 3: Cross multiply
    428,640x = 916,328 × 916,328
  4. Step 4: Simplify right side
    428,640x = 839,657,003,584
  5. Step 5: Solve for x
    x = 839,657,003,584/428,640
  6. Step 6: Final answer
    x = 1,958,886.25

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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.