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Finding the Third Proportional to 212,628 and 455,784

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Solution

The third proportional to 212,628 and 455,784 is: 977,007.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,628 : 455,784 = 455,784 : x
  2. Step 2: Convert to fraction form
    212,628/455,784 = 455,784/x
  3. Step 3: Cross multiply
    212,628x = 455,784 × 455,784
  4. Step 4: Simplify right side
    212,628x = 207,739,054,656
  5. Step 5: Solve for x
    x = 207,739,054,656/212,628
  6. Step 6: Final answer
    x = 977,007.05

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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.