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Finding the Third Proportional to 34,460,133.75 and 73,481,802.75

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Solution

The third proportional to 34,460,133.75 and 73,481,802.75 is: 156,690,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,460,133.75 : 73,481,802.75 = 73,481,802.75 : x
  2. Step 2: Convert to fraction form
    34,460,133.75/73,481,802.75 = 73,481,802.75/x
  3. Step 3: Cross multiply
    34,460,133.75x = 73,481,802.75 × 73,481,802.75
  4. Step 4: Simplify right side
    34,460,133.75x = 5,399,575,335,389,908
  5. Step 5: Solve for x
    x = 5,399,575,335,389,908/34,460,133.75
  6. Step 6: Final answer
    x = 156,690,492.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.