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Finding the Third Proportional to 216,172.13 and 307,940.63

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Solution

The third proportional to 216,172.13 and 307,940.63 is: 438,666.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,172.13 : 307,940.63 = 307,940.63 : x
  2. Step 2: Convert to fraction form
    216,172.13/307,940.63 = 307,940.63/x
  3. Step 3: Cross multiply
    216,172.13x = 307,940.63 × 307,940.63
  4. Step 4: Simplify right side
    216,172.13x = 94,827,428,525.39
  5. Step 5: Solve for x
    x = 94,827,428,525.39/216,172.13
  6. Step 6: Final answer
    x = 438,666.31

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.