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Finding the Third Proportional to 260,398,477.13 and 396,702,457.31

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Solution

The third proportional to 260,398,477.13 and 396,702,457.31 is: 604,353,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,398,477.13 : 396,702,457.31 = 396,702,457.31 : x
  2. Step 2: Convert to fraction form
    260,398,477.13/396,702,457.31 = 396,702,457.31/x
  3. Step 3: Cross multiply
    260,398,477.13x = 396,702,457.31 × 396,702,457.31
  4. Step 4: Simplify right side
    260,398,477.13x = 157,372,839,637,775,872
  5. Step 5: Solve for x
    x = 157,372,839,637,775,872/260,398,477.13
  6. Step 6: Final answer
    x = 604,353,917.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.