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Finding the Third Proportional to 431,265 and 617,539.50

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Solution

The third proportional to 431,265 and 617,539.50 is: 884,270.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,265 : 617,539.50 = 617,539.50 : x
  2. Step 2: Convert to fraction form
    431,265/617,539.50 = 617,539.50/x
  3. Step 3: Cross multiply
    431,265x = 617,539.50 × 617,539.50
  4. Step 4: Simplify right side
    431,265x = 381,355,034,060.25
  5. Step 5: Solve for x
    x = 381,355,034,060.25/431,265
  6. Step 6: Final answer
    x = 884,270.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.