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Finding the Third Proportional to 336,814.50 and 720,312

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Solution

The third proportional to 336,814.50 and 720,312 is: 1,540,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,814.50 : 720,312 = 720,312 : x
  2. Step 2: Convert to fraction form
    336,814.50/720,312 = 720,312/x
  3. Step 3: Cross multiply
    336,814.50x = 720,312 × 720,312
  4. Step 4: Simplify right side
    336,814.50x = 518,849,377,344
  5. Step 5: Solve for x
    x = 518,849,377,344/336,814.50
  6. Step 6: Final answer
    x = 1,540,460.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.