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Finding the Third Proportional to 119,985.47 and 259,213.50

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Solution

The third proportional to 119,985.47 and 259,213.50 is: 559,998.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,985.47 : 259,213.50 = 259,213.50 : x
  2. Step 2: Convert to fraction form
    119,985.47/259,213.50 = 259,213.50/x
  3. Step 3: Cross multiply
    119,985.47x = 259,213.50 × 259,213.50
  4. Step 4: Simplify right side
    119,985.47x = 67,191,638,582.25
  5. Step 5: Solve for x
    x = 67,191,638,582.25/119,985.47
  6. Step 6: Final answer
    x = 559,998.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.