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Finding the Third Proportional to 407,255 and 535,539

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Solution

The third proportional to 407,255 and 535,539 is: 704,232.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,255 : 535,539 = 535,539 : x
  2. Step 2: Convert to fraction form
    407,255/535,539 = 535,539/x
  3. Step 3: Cross multiply
    407,255x = 535,539 × 535,539
  4. Step 4: Simplify right side
    407,255x = 286,802,020,521
  5. Step 5: Solve for x
    x = 286,802,020,521/407,255
  6. Step 6: Final answer
    x = 704,232.04

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.