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Finding the Third Proportional to 213,888 and 432,968

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Solution

The third proportional to 213,888 and 432,968 is: 876,446.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,888 : 432,968 = 432,968 : x
  2. Step 2: Convert to fraction form
    213,888/432,968 = 432,968/x
  3. Step 3: Cross multiply
    213,888x = 432,968 × 432,968
  4. Step 4: Simplify right side
    213,888x = 187,461,289,024
  5. Step 5: Solve for x
    x = 187,461,289,024/213,888
  6. Step 6: Final answer
    x = 876,446.03

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.