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Finding the Third Proportional to 30,867,854 and 45,409,556

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Solution

The third proportional to 30,867,854 and 45,409,556 is: 66,801,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867,854 : 45,409,556 = 45,409,556 : x
  2. Step 2: Convert to fraction form
    30,867,854/45,409,556 = 45,409,556/x
  3. Step 3: Cross multiply
    30,867,854x = 45,409,556 × 45,409,556
  4. Step 4: Simplify right side
    30,867,854x = 2,062,027,776,117,136
  5. Step 5: Solve for x
    x = 2,062,027,776,117,136/30,867,854
  6. Step 6: Final answer
    x = 66,801,785.97

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.