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Finding the Third Proportional to 133,574,089.50 and 204,333,549.75

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Solution

The third proportional to 133,574,089.50 and 204,333,549.75 is: 312,577,085.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,574,089.50 : 204,333,549.75 = 204,333,549.75 : x
  2. Step 2: Convert to fraction form
    133,574,089.50/204,333,549.75 = 204,333,549.75/x
  3. Step 3: Cross multiply
    133,574,089.50x = 204,333,549.75 × 204,333,549.75
  4. Step 4: Simplify right side
    133,574,089.50x = 41,752,199,553,435,728
  5. Step 5: Solve for x
    x = 41,752,199,553,435,728/133,574,089.50
  6. Step 6: Final answer
    x = 312,577,085.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.