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Finding the Third Proportional to 386,245 and 565,541

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Solution

The third proportional to 386,245 and 565,541 is: 828,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,245 : 565,541 = 565,541 : x
  2. Step 2: Convert to fraction form
    386,245/565,541 = 565,541/x
  3. Step 3: Cross multiply
    386,245x = 565,541 × 565,541
  4. Step 4: Simplify right side
    386,245x = 319,836,622,681
  5. Step 5: Solve for x
    x = 319,836,622,681/386,245
  6. Step 6: Final answer
    x = 828,066.70

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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.