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Finding the Third Proportional to 401,445 and 842,298.75

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Solution

The third proportional to 401,445 and 842,298.75 is: 1,767,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,445 : 842,298.75 = 842,298.75 : x
  2. Step 2: Convert to fraction form
    401,445/842,298.75 = 842,298.75/x
  3. Step 3: Cross multiply
    401,445x = 842,298.75 × 842,298.75
  4. Step 4: Simplify right side
    401,445x = 709,467,184,251.56
  5. Step 5: Solve for x
    x = 709,467,184,251.56/401,445
  6. Step 6: Final answer
    x = 1,767,283.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.