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Finding the Third Proportional to 405.47 and 875.63

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Solution

The third proportional to 405.47 and 875.63 is: 1,890.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405.47 : 875.63 = 875.63 : x
  2. Step 2: Convert to fraction form
    405.47/875.63 = 875.63/x
  3. Step 3: Cross multiply
    405.47x = 875.63 × 875.63
  4. Step 4: Simplify right side
    405.47x = 766,719.14
  5. Step 5: Solve for x
    x = 766,719.14/405.47
  6. Step 6: Final answer
    x = 1,890.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.