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Finding the Third Proportional to 378,600 and 564,618

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Solution

The third proportional to 378,600 and 564,618 is: 842,032.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,600 : 564,618 = 564,618 : x
  2. Step 2: Convert to fraction form
    378,600/564,618 = 564,618/x
  3. Step 3: Cross multiply
    378,600x = 564,618 × 564,618
  4. Step 4: Simplify right side
    378,600x = 318,793,485,924
  5. Step 5: Solve for x
    x = 318,793,485,924/378,600
  6. Step 6: Final answer
    x = 842,032.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.