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Finding the Third Proportional to 245.06 and 432.05

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Solution

The third proportional to 245.06 and 432.05 is: 761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.06 : 432.05 = 432.05 : x
  2. Step 2: Convert to fraction form
    245.06/432.05 = 432.05/x
  3. Step 3: Cross multiply
    245.06x = 432.05 × 432.05
  4. Step 4: Simplify right side
    245.06x = 186,669.57
  5. Step 5: Solve for x
    x = 186,669.57/245.06
  6. Step 6: Final answer
    x = 761.74

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.