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Finding the Third Proportional to 66,335,121 and 143,535,906

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Solution

The third proportional to 66,335,121 and 143,535,906 is: 310,582,931.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,335,121 : 143,535,906 = 143,535,906 : x
  2. Step 2: Convert to fraction form
    66,335,121/143,535,906 = 143,535,906/x
  3. Step 3: Cross multiply
    66,335,121x = 143,535,906 × 143,535,906
  4. Step 4: Simplify right side
    66,335,121x = 20,602,556,311,240,836
  5. Step 5: Solve for x
    x = 20,602,556,311,240,836/66,335,121
  6. Step 6: Final answer
    x = 310,582,931.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.