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Finding the Third Proportional to 260,038 and 412,605.50

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Solution

The third proportional to 260,038 and 412,605.50 is: 654,686.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,038 : 412,605.50 = 412,605.50 : x
  2. Step 2: Convert to fraction form
    260,038/412,605.50 = 412,605.50/x
  3. Step 3: Cross multiply
    260,038x = 412,605.50 × 412,605.50
  4. Step 4: Simplify right side
    260,038x = 170,243,298,630.25
  5. Step 5: Solve for x
    x = 170,243,298,630.25/260,038
  6. Step 6: Final answer
    x = 654,686.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.