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Finding the Third Proportional to 30,042 and 45,712

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Solution

The third proportional to 30,042 and 45,712 is: 69,555.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,042 : 45,712 = 45,712 : x
  2. Step 2: Convert to fraction form
    30,042/45,712 = 45,712/x
  3. Step 3: Cross multiply
    30,042x = 45,712 × 45,712
  4. Step 4: Simplify right side
    30,042x = 2,089,586,944
  5. Step 5: Solve for x
    x = 2,089,586,944/30,042
  6. Step 6: Final answer
    x = 69,555.52

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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.