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Finding the Third Proportional to 488,620.69 and 742,893.19

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Solution

The third proportional to 488,620.69 and 742,893.19 is: 1,129,486.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,620.69 : 742,893.19 = 742,893.19 : x
  2. Step 2: Convert to fraction form
    488,620.69/742,893.19 = 742,893.19/x
  3. Step 3: Cross multiply
    488,620.69x = 742,893.19 × 742,893.19
  4. Step 4: Simplify right side
    488,620.69x = 551,890,288,033.91
  5. Step 5: Solve for x
    x = 551,890,288,033.91/488,620.69
  6. Step 6: Final answer
    x = 1,129,486.13

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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.