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Finding the Third Proportional to 443,445 and 685,115

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Solution

The third proportional to 443,445 and 685,115 is: 1,058,491.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,445 : 685,115 = 685,115 : x
  2. Step 2: Convert to fraction form
    443,445/685,115 = 685,115/x
  3. Step 3: Cross multiply
    443,445x = 685,115 × 685,115
  4. Step 4: Simplify right side
    443,445x = 469,382,563,225
  5. Step 5: Solve for x
    x = 469,382,563,225/443,445
  6. Step 6: Final answer
    x = 1,058,491.05

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Why These Related Problems?

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