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Finding the Third Proportional to 72,528 and 153,756

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Solution

The third proportional to 72,528 and 153,756 is: 325,955.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,528 : 153,756 = 153,756 : x
  2. Step 2: Convert to fraction form
    72,528/153,756 = 153,756/x
  3. Step 3: Cross multiply
    72,528x = 153,756 × 153,756
  4. Step 4: Simplify right side
    72,528x = 23,640,907,536
  5. Step 5: Solve for x
    x = 23,640,907,536/72,528
  6. Step 6: Final answer
    x = 325,955.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.