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Finding the Third Proportional to 30,487 and 46,919.50

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Solution

The third proportional to 30,487 and 46,919.50 is: 72,209.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,487 : 46,919.50 = 46,919.50 : x
  2. Step 2: Convert to fraction form
    30,487/46,919.50 = 46,919.50/x
  3. Step 3: Cross multiply
    30,487x = 46,919.50 × 46,919.50
  4. Step 4: Simplify right side
    30,487x = 2,201,439,480.25
  5. Step 5: Solve for x
    x = 2,201,439,480.25/30,487
  6. Step 6: Final answer
    x = 72,209.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.