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Finding the Third Proportional to 30,542,972 and 65,868,130

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Solution

The third proportional to 30,542,972 and 65,868,130 is: 142,049,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542,972 : 65,868,130 = 65,868,130 : x
  2. Step 2: Convert to fraction form
    30,542,972/65,868,130 = 65,868,130/x
  3. Step 3: Cross multiply
    30,542,972x = 65,868,130 × 65,868,130
  4. Step 4: Simplify right side
    30,542,972x = 4,338,610,549,696,900
  5. Step 5: Solve for x
    x = 4,338,610,549,696,900/30,542,972
  6. Step 6: Final answer
    x = 142,049,390.27

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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.