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Finding the Third Proportional to 303,856.31 and 480,547.69

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Solution

The third proportional to 303,856.31 and 480,547.69 is: 759,984.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,856.31 : 480,547.69 = 480,547.69 : x
  2. Step 2: Convert to fraction form
    303,856.31/480,547.69 = 480,547.69/x
  3. Step 3: Cross multiply
    303,856.31x = 480,547.69 × 480,547.69
  4. Step 4: Simplify right side
    303,856.31x = 230,926,079,961.60
  5. Step 5: Solve for x
    x = 230,926,079,961.60/303,856.31
  6. Step 6: Final answer
    x = 759,984.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.