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Finding the Third Proportional to 351,810 and 545,457

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Solution

The third proportional to 351,810 and 545,457 is: 845,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,810 : 545,457 = 545,457 : x
  2. Step 2: Convert to fraction form
    351,810/545,457 = 545,457/x
  3. Step 3: Cross multiply
    351,810x = 545,457 × 545,457
  4. Step 4: Simplify right side
    351,810x = 297,523,338,849
  5. Step 5: Solve for x
    x = 297,523,338,849/351,810
  6. Step 6: Final answer
    x = 845,693.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.