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Finding the Third Proportional to 448,462.13 and 689,300.72

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Solution

The third proportional to 448,462.13 and 689,300.72 is: 1,059,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,462.13 : 689,300.72 = 689,300.72 : x
  2. Step 2: Convert to fraction form
    448,462.13/689,300.72 = 689,300.72/x
  3. Step 3: Cross multiply
    448,462.13x = 689,300.72 × 689,300.72
  4. Step 4: Simplify right side
    448,462.13x = 475,135,480,869.27
  5. Step 5: Solve for x
    x = 475,135,480,869.27/448,462.13
  6. Step 6: Final answer
    x = 1,059,477.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.