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Finding the Third Proportional to 624,159 and 939,828

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Solution

The third proportional to 624,159 and 939,828 is: 1,415,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,159 : 939,828 = 939,828 : x
  2. Step 2: Convert to fraction form
    624,159/939,828 = 939,828/x
  3. Step 3: Cross multiply
    624,159x = 939,828 × 939,828
  4. Step 4: Simplify right side
    624,159x = 883,276,669,584
  5. Step 5: Solve for x
    x = 883,276,669,584/624,159
  6. Step 6: Final answer
    x = 1,415,146.89

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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.