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Finding the Third Proportional to 105,140,959.50 and 230,102,578.50

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Solution

The third proportional to 105,140,959.50 and 230,102,578.50 is: 503,582,969.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,140,959.50 : 230,102,578.50 = 230,102,578.50 : x
  2. Step 2: Convert to fraction form
    105,140,959.50/230,102,578.50 = 230,102,578.50/x
  3. Step 3: Cross multiply
    105,140,959.50x = 230,102,578.50 × 230,102,578.50
  4. Step 4: Simplify right side
    105,140,959.50x = 52,947,196,632,348,664
  5. Step 5: Solve for x
    x = 52,947,196,632,348,664/105,140,959.50
  6. Step 6: Final answer
    x = 503,582,969.80

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.