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Finding the Third Proportional to 285,604 and 620,373.50

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Solution

The third proportional to 285,604 and 620,373.50 is: 1,347,541.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,604 : 620,373.50 = 620,373.50 : x
  2. Step 2: Convert to fraction form
    285,604/620,373.50 = 620,373.50/x
  3. Step 3: Cross multiply
    285,604x = 620,373.50 × 620,373.50
  4. Step 4: Simplify right side
    285,604x = 384,863,279,502.25
  5. Step 5: Solve for x
    x = 384,863,279,502.25/285,604
  6. Step 6: Final answer
    x = 1,347,541.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.