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Finding the Third Proportional to 448,412.63 and 680,923.13

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Solution

The third proportional to 448,412.63 and 680,923.13 is: 1,033,994.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,412.63 : 680,923.13 = 680,923.13 : x
  2. Step 2: Convert to fraction form
    448,412.63/680,923.13 = 680,923.13/x
  3. Step 3: Cross multiply
    448,412.63x = 680,923.13 × 680,923.13
  4. Step 4: Simplify right side
    448,412.63x = 463,656,302,159.77
  5. Step 5: Solve for x
    x = 463,656,302,159.77/448,412.63
  6. Step 6: Final answer
    x = 1,033,994.75

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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.