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Finding the Third Proportional to 615,816 and 1,323,312

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Solution

The third proportional to 615,816 and 1,323,312 is: 2,843,632.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,816 : 1,323,312 = 1,323,312 : x
  2. Step 2: Convert to fraction form
    615,816/1,323,312 = 1,323,312/x
  3. Step 3: Cross multiply
    615,816x = 1,323,312 × 1,323,312
  4. Step 4: Simplify right side
    615,816x = 1,751,154,649,344
  5. Step 5: Solve for x
    x = 1,751,154,649,344/615,816
  6. Step 6: Final answer
    x = 2,843,632.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.