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Finding the Third Proportional to 196,114.50 and 423,333

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Solution

The third proportional to 196,114.50 and 423,333 is: 913,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,114.50 : 423,333 = 423,333 : x
  2. Step 2: Convert to fraction form
    196,114.50/423,333 = 423,333/x
  3. Step 3: Cross multiply
    196,114.50x = 423,333 × 423,333
  4. Step 4: Simplify right side
    196,114.50x = 179,210,828,889
  5. Step 5: Solve for x
    x = 179,210,828,889/196,114.50
  6. Step 6: Final answer
    x = 913,807.13

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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.