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Finding the Third Proportional to 30,807 and 45,113.63

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Solution

The third proportional to 30,807 and 45,113.63 is: 66,064.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,807 : 45,113.63 = 45,113.63 : x
  2. Step 2: Convert to fraction form
    30,807/45,113.63 = 45,113.63/x
  3. Step 3: Cross multiply
    30,807x = 45,113.63 × 45,113.63
  4. Step 4: Simplify right side
    30,807x = 2,035,239,160.64
  5. Step 5: Solve for x
    x = 2,035,239,160.64/30,807
  6. Step 6: Final answer
    x = 66,064.18

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.