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Finding the Third Proportional to 318,480 and 488,779.50

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Solution

The third proportional to 318,480 and 488,779.50 is: 750,142.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,480 : 488,779.50 = 488,779.50 : x
  2. Step 2: Convert to fraction form
    318,480/488,779.50 = 488,779.50/x
  3. Step 3: Cross multiply
    318,480x = 488,779.50 × 488,779.50
  4. Step 4: Simplify right side
    318,480x = 238,905,399,620.25
  5. Step 5: Solve for x
    x = 238,905,399,620.25/318,480
  6. Step 6: Final answer
    x = 750,142.55

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.