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Finding the Third Proportional to 30,566 and 46,756.50

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Solution

The third proportional to 30,566 and 46,756.50 is: 71,522.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,566 : 46,756.50 = 46,756.50 : x
  2. Step 2: Convert to fraction form
    30,566/46,756.50 = 46,756.50/x
  3. Step 3: Cross multiply
    30,566x = 46,756.50 × 46,756.50
  4. Step 4: Simplify right side
    30,566x = 2,186,170,292.25
  5. Step 5: Solve for x
    x = 2,186,170,292.25/30,566
  6. Step 6: Final answer
    x = 71,522.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.