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Finding the Third Proportional to 215,289 and 471,618

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Solution

The third proportional to 215,289 and 471,618 is: 1,033,139.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,289 : 471,618 = 471,618 : x
  2. Step 2: Convert to fraction form
    215,289/471,618 = 471,618/x
  3. Step 3: Cross multiply
    215,289x = 471,618 × 471,618
  4. Step 4: Simplify right side
    215,289x = 222,423,537,924
  5. Step 5: Solve for x
    x = 222,423,537,924/215,289
  6. Step 6: Final answer
    x = 1,033,139.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.