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Finding the Third Proportional to 213,423 and 309,117

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Solution

The third proportional to 213,423 and 309,117 is: 447,718.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,423 : 309,117 = 309,117 : x
  2. Step 2: Convert to fraction form
    213,423/309,117 = 309,117/x
  3. Step 3: Cross multiply
    213,423x = 309,117 × 309,117
  4. Step 4: Simplify right side
    213,423x = 95,553,319,689
  5. Step 5: Solve for x
    x = 95,553,319,689/213,423
  6. Step 6: Final answer
    x = 447,718.00

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.