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Finding the Third Proportional to 187,345.50 and 285,711

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Solution

The third proportional to 187,345.50 and 285,711 is: 435,723.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,345.50 : 285,711 = 285,711 : x
  2. Step 2: Convert to fraction form
    187,345.50/285,711 = 285,711/x
  3. Step 3: Cross multiply
    187,345.50x = 285,711 × 285,711
  4. Step 4: Simplify right side
    187,345.50x = 81,630,775,521
  5. Step 5: Solve for x
    x = 81,630,775,521/187,345.50
  6. Step 6: Final answer
    x = 435,723.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.