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Finding the Third Proportional to 254,260 and 345,316

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Solution

The third proportional to 254,260 and 345,316 is: 468,981.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,260 : 345,316 = 345,316 : x
  2. Step 2: Convert to fraction form
    254,260/345,316 = 345,316/x
  3. Step 3: Cross multiply
    254,260x = 345,316 × 345,316
  4. Step 4: Simplify right side
    254,260x = 119,243,139,856
  5. Step 5: Solve for x
    x = 119,243,139,856/254,260
  6. Step 6: Final answer
    x = 468,981.12

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.