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Finding the Third Proportional to 224,547.19 and 336,820.78

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Solution

The third proportional to 224,547.19 and 336,820.78 is: 505,231.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,547.19 : 336,820.78 = 336,820.78 : x
  2. Step 2: Convert to fraction form
    224,547.19/336,820.78 = 336,820.78/x
  3. Step 3: Cross multiply
    224,547.19x = 336,820.78 × 336,820.78
  4. Step 4: Simplify right side
    224,547.19x = 113,448,238,681.86
  5. Step 5: Solve for x
    x = 113,448,238,681.86/224,547.19
  6. Step 6: Final answer
    x = 505,231.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.