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Finding the Third Proportional to 427,383 and 676,750.25

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Solution

The third proportional to 427,383 and 676,750.25 is: 1,071,617.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,383 : 676,750.25 = 676,750.25 : x
  2. Step 2: Convert to fraction form
    427,383/676,750.25 = 676,750.25/x
  3. Step 3: Cross multiply
    427,383x = 676,750.25 × 676,750.25
  4. Step 4: Simplify right side
    427,383x = 457,990,900,875.06
  5. Step 5: Solve for x
    x = 457,990,900,875.06/427,383
  6. Step 6: Final answer
    x = 1,071,617.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.