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Finding the Third Proportional to 295.05 and 647.05

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Solution

The third proportional to 295.05 and 647.05 is: 1,419.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.05 : 647.05 = 647.05 : x
  2. Step 2: Convert to fraction form
    295.05/647.05 = 647.05/x
  3. Step 3: Cross multiply
    295.05x = 647.05 × 647.05
  4. Step 4: Simplify right side
    295.05x = 418,674.71
  5. Step 5: Solve for x
    x = 418,674.71/295.05
  6. Step 6: Final answer
    x = 1,419.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.