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Finding the Third Proportional to 124,483,405.50 and 200,010,894.75

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Solution

The third proportional to 124,483,405.50 and 200,010,894.75 is: 321,362,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,483,405.50 : 200,010,894.75 = 200,010,894.75 : x
  2. Step 2: Convert to fraction form
    124,483,405.50/200,010,894.75 = 200,010,894.75/x
  3. Step 3: Cross multiply
    124,483,405.50x = 200,010,894.75 × 200,010,894.75
  4. Step 4: Simplify right side
    124,483,405.50x = 40,004,358,018,695,576
  5. Step 5: Solve for x
    x = 40,004,358,018,695,576/124,483,405.50
  6. Step 6: Final answer
    x = 321,362,978.93

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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.