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Finding the Third Proportional to 345,582.75 and 718,746.75

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Solution

The third proportional to 345,582.75 and 718,746.75 is: 1,494,857.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,582.75 : 718,746.75 = 718,746.75 : x
  2. Step 2: Convert to fraction form
    345,582.75/718,746.75 = 718,746.75/x
  3. Step 3: Cross multiply
    345,582.75x = 718,746.75 × 718,746.75
  4. Step 4: Simplify right side
    345,582.75x = 516,596,890,635.56
  5. Step 5: Solve for x
    x = 516,596,890,635.56/345,582.75
  6. Step 6: Final answer
    x = 1,494,857.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.