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Finding the Third Proportional to 443,446.50 and 685,117.50

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Solution

The third proportional to 443,446.50 and 685,117.50 is: 1,058,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,446.50 : 685,117.50 = 685,117.50 : x
  2. Step 2: Convert to fraction form
    443,446.50/685,117.50 = 685,117.50/x
  3. Step 3: Cross multiply
    443,446.50x = 685,117.50 × 685,117.50
  4. Step 4: Simplify right side
    443,446.50x = 469,385,988,806.25
  5. Step 5: Solve for x
    x = 469,385,988,806.25/443,446.50
  6. Step 6: Final answer
    x = 1,058,495.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.