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Finding the Third Proportional to 646,056 and 905,319

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Solution

The third proportional to 646,056 and 905,319 is: 1,268,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,056 : 905,319 = 905,319 : x
  2. Step 2: Convert to fraction form
    646,056/905,319 = 905,319/x
  3. Step 3: Cross multiply
    646,056x = 905,319 × 905,319
  4. Step 4: Simplify right side
    646,056x = 819,602,491,761
  5. Step 5: Solve for x
    x = 819,602,491,761/646,056
  6. Step 6: Final answer
    x = 1,268,624.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.