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Finding the Third Proportional to 291,420,736 and 475,813,457

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Solution

The third proportional to 291,420,736 and 475,813,457 is: 776,878,299.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,420,736 : 475,813,457 = 475,813,457 : x
  2. Step 2: Convert to fraction form
    291,420,736/475,813,457 = 475,813,457/x
  3. Step 3: Cross multiply
    291,420,736x = 475,813,457 × 475,813,457
  4. Step 4: Simplify right side
    291,420,736x = 226,398,445,862,290,848
  5. Step 5: Solve for x
    x = 226,398,445,862,290,848/291,420,736
  6. Step 6: Final answer
    x = 776,878,299.64

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.