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Finding the Third Proportional to 111,766,639 and 166,559,640

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Solution

The third proportional to 111,766,639 and 166,559,640 is: 248,214,618.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,766,639 : 166,559,640 = 166,559,640 : x
  2. Step 2: Convert to fraction form
    111,766,639/166,559,640 = 166,559,640/x
  3. Step 3: Cross multiply
    111,766,639x = 166,559,640 × 166,559,640
  4. Step 4: Simplify right side
    111,766,639x = 27,742,113,676,929,600
  5. Step 5: Solve for x
    x = 27,742,113,676,929,600/111,766,639
  6. Step 6: Final answer
    x = 248,214,618.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.