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Finding the Third Proportional to 280,101 and 426,631.50

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Solution

The third proportional to 280,101 and 426,631.50 is: 649,817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,101 : 426,631.50 = 426,631.50 : x
  2. Step 2: Convert to fraction form
    280,101/426,631.50 = 426,631.50/x
  3. Step 3: Cross multiply
    280,101x = 426,631.50 × 426,631.50
  4. Step 4: Simplify right side
    280,101x = 182,014,436,792.25
  5. Step 5: Solve for x
    x = 182,014,436,792.25/280,101
  6. Step 6: Final answer
    x = 649,817.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.