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Finding the Third Proportional to 455,026 and 990,316

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Solution

The third proportional to 455,026 and 990,316 is: 2,155,318.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,026 : 990,316 = 990,316 : x
  2. Step 2: Convert to fraction form
    455,026/990,316 = 990,316/x
  3. Step 3: Cross multiply
    455,026x = 990,316 × 990,316
  4. Step 4: Simplify right side
    455,026x = 980,725,779,856
  5. Step 5: Solve for x
    x = 980,725,779,856/455,026
  6. Step 6: Final answer
    x = 2,155,318.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.