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Finding the Third Proportional to 122,547 and 256,316

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Solution

The third proportional to 122,547 and 256,316 is: 536,103.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,547 : 256,316 = 256,316 : x
  2. Step 2: Convert to fraction form
    122,547/256,316 = 256,316/x
  3. Step 3: Cross multiply
    122,547x = 256,316 × 256,316
  4. Step 4: Simplify right side
    122,547x = 65,697,891,856
  5. Step 5: Solve for x
    x = 65,697,891,856/122,547
  6. Step 6: Final answer
    x = 536,103.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.