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Finding the Third Proportional to 422,643 and 618,792

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Solution

The third proportional to 422,643 and 618,792 is: 905,973.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,643 : 618,792 = 618,792 : x
  2. Step 2: Convert to fraction form
    422,643/618,792 = 618,792/x
  3. Step 3: Cross multiply
    422,643x = 618,792 × 618,792
  4. Step 4: Simplify right side
    422,643x = 382,903,539,264
  5. Step 5: Solve for x
    x = 382,903,539,264/422,643
  6. Step 6: Final answer
    x = 905,973.93

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.