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Finding the Third Proportional to 145,319.06 and 212,236.45

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Solution

The third proportional to 145,319.06 and 212,236.45 is: 309,968.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,319.06 : 212,236.45 = 212,236.45 : x
  2. Step 2: Convert to fraction form
    145,319.06/212,236.45 = 212,236.45/x
  3. Step 3: Cross multiply
    145,319.06x = 212,236.45 × 212,236.45
  4. Step 4: Simplify right side
    145,319.06x = 45,044,312,035.08
  5. Step 5: Solve for x
    x = 45,044,312,035.08/145,319.06
  6. Step 6: Final answer
    x = 309,968.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.