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Finding the Third Proportional to 255,807 and 383,710.50

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Solution

The third proportional to 255,807 and 383,710.50 is: 575,565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,807 : 383,710.50 = 383,710.50 : x
  2. Step 2: Convert to fraction form
    255,807/383,710.50 = 383,710.50/x
  3. Step 3: Cross multiply
    255,807x = 383,710.50 × 383,710.50
  4. Step 4: Simplify right side
    255,807x = 147,233,747,810.25
  5. Step 5: Solve for x
    x = 147,233,747,810.25/255,807
  6. Step 6: Final answer
    x = 575,565.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.