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Finding the Third Proportional to 285,737.63 and 623,143.13

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Solution

The third proportional to 285,737.63 and 623,143.13 is: 1,358,964.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,737.63 : 623,143.13 = 623,143.13 : x
  2. Step 2: Convert to fraction form
    285,737.63/623,143.13 = 623,143.13/x
  3. Step 3: Cross multiply
    285,737.63x = 623,143.13 × 623,143.13
  4. Step 4: Simplify right side
    285,737.63x = 388,307,354,234.77
  5. Step 5: Solve for x
    x = 388,307,354,234.77/285,737.63
  6. Step 6: Final answer
    x = 1,358,964.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.