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Finding the Third Proportional to 48,116,856 and 113,547,168

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Solution

The third proportional to 48,116,856 and 113,547,168 is: 267,950,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,116,856 : 113,547,168 = 113,547,168 : x
  2. Step 2: Convert to fraction form
    48,116,856/113,547,168 = 113,547,168/x
  3. Step 3: Cross multiply
    48,116,856x = 113,547,168 × 113,547,168
  4. Step 4: Simplify right side
    48,116,856x = 12,892,959,360,820,224
  5. Step 5: Solve for x
    x = 12,892,959,360,820,224/48,116,856
  6. Step 6: Final answer
    x = 267,950,993.32

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.