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Finding the Third Proportional to 670.88 and 1,064.63

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Solution

The third proportional to 670.88 and 1,064.63 is: 1,689.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    670.88 : 1,064.63 = 1,064.63 : x
  2. Step 2: Convert to fraction form
    670.88/1,064.63 = 1,064.63/x
  3. Step 3: Cross multiply
    670.88x = 1,064.63 × 1,064.63
  4. Step 4: Simplify right side
    670.88x = 1,133,426.39
  5. Step 5: Solve for x
    x = 1,133,426.39/670.88
  6. Step 6: Final answer
    x = 1,689.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.