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Finding the Third Proportional to 542,457 and 802,629

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Solution

The third proportional to 542,457 and 802,629 is: 1,187,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,457 : 802,629 = 802,629 : x
  2. Step 2: Convert to fraction form
    542,457/802,629 = 802,629/x
  3. Step 3: Cross multiply
    542,457x = 802,629 × 802,629
  4. Step 4: Simplify right side
    542,457x = 644,213,311,641
  5. Step 5: Solve for x
    x = 644,213,311,641/542,457
  6. Step 6: Final answer
    x = 1,187,584.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.