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Finding the Third Proportional to 210,543 and 323,623.50

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Solution

The third proportional to 210,543 and 323,623.50 is: 497,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,543 : 323,623.50 = 323,623.50 : x
  2. Step 2: Convert to fraction form
    210,543/323,623.50 = 323,623.50/x
  3. Step 3: Cross multiply
    210,543x = 323,623.50 × 323,623.50
  4. Step 4: Simplify right side
    210,543x = 104,732,169,752.25
  5. Step 5: Solve for x
    x = 104,732,169,752.25/210,543
  6. Step 6: Final answer
    x = 497,438.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.