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Finding the Third Proportional to 448,969.50 and 610,682.63

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Solution

The third proportional to 448,969.50 and 610,682.63 is: 830,642.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,969.50 : 610,682.63 = 610,682.63 : x
  2. Step 2: Convert to fraction form
    448,969.50/610,682.63 = 610,682.63/x
  3. Step 3: Cross multiply
    448,969.50x = 610,682.63 × 610,682.63
  4. Step 4: Simplify right side
    448,969.50x = 372,933,268,476.89
  5. Step 5: Solve for x
    x = 372,933,268,476.89/448,969.50
  6. Step 6: Final answer
    x = 830,642.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.