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Finding the Third Proportional to 351,840 and 715,968

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Solution

The third proportional to 351,840 and 715,968 is: 1,456,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,840 : 715,968 = 715,968 : x
  2. Step 2: Convert to fraction form
    351,840/715,968 = 715,968/x
  3. Step 3: Cross multiply
    351,840x = 715,968 × 715,968
  4. Step 4: Simplify right side
    351,840x = 512,610,177,024
  5. Step 5: Solve for x
    x = 512,610,177,024/351,840
  6. Step 6: Final answer
    x = 1,456,941.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.