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Finding the Third Proportional to 213,410 and 457,248

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Solution

The third proportional to 213,410 and 457,248 is: 979,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,410 : 457,248 = 457,248 : x
  2. Step 2: Convert to fraction form
    213,410/457,248 = 457,248/x
  3. Step 3: Cross multiply
    213,410x = 457,248 × 457,248
  4. Step 4: Simplify right side
    213,410x = 209,075,733,504
  5. Step 5: Solve for x
    x = 209,075,733,504/213,410
  6. Step 6: Final answer
    x = 979,690.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.