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Finding the Third Proportional to 30,703 and 45,046

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Solution

The third proportional to 30,703 and 45,046 is: 66,089.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,703 : 45,046 = 45,046 : x
  2. Step 2: Convert to fraction form
    30,703/45,046 = 45,046/x
  3. Step 3: Cross multiply
    30,703x = 45,046 × 45,046
  4. Step 4: Simplify right side
    30,703x = 2,029,142,116
  5. Step 5: Solve for x
    x = 2,029,142,116/30,703
  6. Step 6: Final answer
    x = 66,089.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.