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Finding the Third Proportional to 864,668 and 1,381,316

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Solution

The third proportional to 864,668 and 1,381,316 is: 2,206,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,668 : 1,381,316 = 1,381,316 : x
  2. Step 2: Convert to fraction form
    864,668/1,381,316 = 1,381,316/x
  3. Step 3: Cross multiply
    864,668x = 1,381,316 × 1,381,316
  4. Step 4: Simplify right side
    864,668x = 1,908,033,891,856
  5. Step 5: Solve for x
    x = 1,908,033,891,856/864,668
  6. Step 6: Final answer
    x = 2,206,666.48

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.