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Finding the Third Proportional to 386,222.63 and 565,507.69

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Solution

The third proportional to 386,222.63 and 565,507.69 is: 828,017.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,222.63 : 565,507.69 = 565,507.69 : x
  2. Step 2: Convert to fraction form
    386,222.63/565,507.69 = 565,507.69/x
  3. Step 3: Cross multiply
    386,222.63x = 565,507.69 × 565,507.69
  4. Step 4: Simplify right side
    386,222.63x = 319,798,944,621.60
  5. Step 5: Solve for x
    x = 319,798,944,621.60/386,222.63
  6. Step 6: Final answer
    x = 828,017.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.