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Finding the Third Proportional to 135,705.50 and 290,047

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Solution

The third proportional to 135,705.50 and 290,047 is: 619,925.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,705.50 : 290,047 = 290,047 : x
  2. Step 2: Convert to fraction form
    135,705.50/290,047 = 290,047/x
  3. Step 3: Cross multiply
    135,705.50x = 290,047 × 290,047
  4. Step 4: Simplify right side
    135,705.50x = 84,127,262,209
  5. Step 5: Solve for x
    x = 84,127,262,209/135,705.50
  6. Step 6: Final answer
    x = 619,925.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.