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Finding the Third Proportional to 415,770 and 627,417

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Solution

The third proportional to 415,770 and 627,417 is: 946,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,770 : 627,417 = 627,417 : x
  2. Step 2: Convert to fraction form
    415,770/627,417 = 627,417/x
  3. Step 3: Cross multiply
    415,770x = 627,417 × 627,417
  4. Step 4: Simplify right side
    415,770x = 393,652,091,889
  5. Step 5: Solve for x
    x = 393,652,091,889/415,770
  6. Step 6: Final answer
    x = 946,802.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.