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Finding the Third Proportional to 124,483,464 and 200,010,984.75

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Solution

The third proportional to 124,483,464 and 200,010,984.75 is: 321,363,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,483,464 : 200,010,984.75 = 200,010,984.75 : x
  2. Step 2: Convert to fraction form
    124,483,464/200,010,984.75 = 200,010,984.75/x
  3. Step 3: Cross multiply
    124,483,464x = 200,010,984.75 × 200,010,984.75
  4. Step 4: Simplify right side
    124,483,464x = 40,004,394,020,664,736
  5. Step 5: Solve for x
    x = 40,004,394,020,664,736/124,483,464
  6. Step 6: Final answer
    x = 321,363,117.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.