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Finding the Third Proportional to 32,765,836 and 72,804,120

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Solution

The third proportional to 32,765,836 and 72,804,120 is: 161,767,271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,765,836 : 72,804,120 = 72,804,120 : x
  2. Step 2: Convert to fraction form
    32,765,836/72,804,120 = 72,804,120/x
  3. Step 3: Cross multiply
    32,765,836x = 72,804,120 × 72,804,120
  4. Step 4: Simplify right side
    32,765,836x = 5,300,439,888,974,400
  5. Step 5: Solve for x
    x = 5,300,439,888,974,400/32,765,836
  6. Step 6: Final answer
    x = 161,767,271.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.