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Finding the Third Proportional to 323,172 and 697,968

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Solution

The third proportional to 323,172 and 697,968 is: 1,507,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,172 : 697,968 = 697,968 : x
  2. Step 2: Convert to fraction form
    323,172/697,968 = 697,968/x
  3. Step 3: Cross multiply
    323,172x = 697,968 × 697,968
  4. Step 4: Simplify right side
    323,172x = 487,159,329,024
  5. Step 5: Solve for x
    x = 487,159,329,024/323,172
  6. Step 6: Final answer
    x = 1,507,430.50

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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.