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Finding the Third Proportional to 351,430 and 535,416

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Solution

The third proportional to 351,430 and 535,416 is: 815,725.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,430 : 535,416 = 535,416 : x
  2. Step 2: Convert to fraction form
    351,430/535,416 = 535,416/x
  3. Step 3: Cross multiply
    351,430x = 535,416 × 535,416
  4. Step 4: Simplify right side
    351,430x = 286,670,293,056
  5. Step 5: Solve for x
    x = 286,670,293,056/351,430
  6. Step 6: Final answer
    x = 815,725.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.