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Finding the Third Proportional to 117,543,814.50 and 274,484,038.13

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Solution

The third proportional to 117,543,814.50 and 274,484,038.13 is: 640,965,137.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,543,814.50 : 274,484,038.13 = 274,484,038.13 : x
  2. Step 2: Convert to fraction form
    117,543,814.50/274,484,038.13 = 274,484,038.13/x
  3. Step 3: Cross multiply
    117,543,814.50x = 274,484,038.13 × 274,484,038.13
  4. Step 4: Simplify right side
    117,543,814.50x = 75,341,487,185,406,448
  5. Step 5: Solve for x
    x = 75,341,487,185,406,448/117,543,814.50
  6. Step 6: Final answer
    x = 640,965,137.18

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.