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Finding the Third Proportional to 284,310 and 631,668.38

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Solution

The third proportional to 284,310 and 631,668.38 is: 1,403,415.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,310 : 631,668.38 = 631,668.38 : x
  2. Step 2: Convert to fraction form
    284,310/631,668.38 = 631,668.38/x
  3. Step 3: Cross multiply
    284,310x = 631,668.38 × 631,668.38
  4. Step 4: Simplify right side
    284,310x = 399,004,935,975.14
  5. Step 5: Solve for x
    x = 399,004,935,975.14/284,310
  6. Step 6: Final answer
    x = 1,403,415.06

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.