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Finding the Third Proportional to 345,968 and 748,798

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Solution

The third proportional to 345,968 and 748,798 is: 1,620,665.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,968 : 748,798 = 748,798 : x
  2. Step 2: Convert to fraction form
    345,968/748,798 = 748,798/x
  3. Step 3: Cross multiply
    345,968x = 748,798 × 748,798
  4. Step 4: Simplify right side
    345,968x = 560,698,444,804
  5. Step 5: Solve for x
    x = 560,698,444,804/345,968
  6. Step 6: Final answer
    x = 1,620,665.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.