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Finding the Third Proportional to 208,294 and 431,358

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Solution

The third proportional to 208,294 and 431,358 is: 893,303.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,294 : 431,358 = 431,358 : x
  2. Step 2: Convert to fraction form
    208,294/431,358 = 431,358/x
  3. Step 3: Cross multiply
    208,294x = 431,358 × 431,358
  4. Step 4: Simplify right side
    208,294x = 186,069,724,164
  5. Step 5: Solve for x
    x = 186,069,724,164/208,294
  6. Step 6: Final answer
    x = 893,303.33

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.