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Finding the Third Proportional to 345.69 and 726.81

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Solution

The third proportional to 345.69 and 726.81 is: 1,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.69 : 726.81 = 726.81 : x
  2. Step 2: Convert to fraction form
    345.69/726.81 = 726.81/x
  3. Step 3: Cross multiply
    345.69x = 726.81 × 726.81
  4. Step 4: Simplify right side
    345.69x = 528,256.41
  5. Step 5: Solve for x
    x = 528,256.41/345.69
  6. Step 6: Final answer
    x = 1,528.13

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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.