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Finding the Third Proportional to 261,813,103.03 and 390,449,230.88

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Solution

The third proportional to 261,813,103.03 and 390,449,230.88 is: 582,287,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,813,103.03 : 390,449,230.88 = 390,449,230.88 : x
  2. Step 2: Convert to fraction form
    261,813,103.03/390,449,230.88 = 390,449,230.88/x
  3. Step 3: Cross multiply
    261,813,103.03x = 390,449,230.88 × 390,449,230.88
  4. Step 4: Simplify right side
    261,813,103.03x = 152,450,601,890,879,040
  5. Step 5: Solve for x
    x = 152,450,601,890,879,040/261,813,103.03
  6. Step 6: Final answer
    x = 582,287,899.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.