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Finding the Third Proportional to 30,295.50 and 64,803

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Solution

The third proportional to 30,295.50 and 64,803 is: 138,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,295.50 : 64,803 = 64,803 : x
  2. Step 2: Convert to fraction form
    30,295.50/64,803 = 64,803/x
  3. Step 3: Cross multiply
    30,295.50x = 64,803 × 64,803
  4. Step 4: Simplify right side
    30,295.50x = 4,199,428,809
  5. Step 5: Solve for x
    x = 4,199,428,809/30,295.50
  6. Step 6: Final answer
    x = 138,615.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.