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Finding the Third Proportional to 210,441 and 507,148.50

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Solution

The third proportional to 210,441 and 507,148.50 is: 1,222,193.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,441 : 507,148.50 = 507,148.50 : x
  2. Step 2: Convert to fraction form
    210,441/507,148.50 = 507,148.50/x
  3. Step 3: Cross multiply
    210,441x = 507,148.50 × 507,148.50
  4. Step 4: Simplify right side
    210,441x = 257,199,601,052.25
  5. Step 5: Solve for x
    x = 257,199,601,052.25/210,441
  6. Step 6: Final answer
    x = 1,222,193.40

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.