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Finding the Third Proportional to 284,434 and 656,813

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Solution

The third proportional to 284,434 and 656,813 is: 1,516,707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,434 : 656,813 = 656,813 : x
  2. Step 2: Convert to fraction form
    284,434/656,813 = 656,813/x
  3. Step 3: Cross multiply
    284,434x = 656,813 × 656,813
  4. Step 4: Simplify right side
    284,434x = 431,403,316,969
  5. Step 5: Solve for x
    x = 431,403,316,969/284,434
  6. Step 6: Final answer
    x = 1,516,707.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.