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Finding the Third Proportional to 78,362,544.50 and 182,989,363

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Solution

The third proportional to 78,362,544.50 and 182,989,363 is: 427,310,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362,544.50 : 182,989,363 = 182,989,363 : x
  2. Step 2: Convert to fraction form
    78,362,544.50/182,989,363 = 182,989,363/x
  3. Step 3: Cross multiply
    78,362,544.50x = 182,989,363 × 182,989,363
  4. Step 4: Simplify right side
    78,362,544.50x = 33,485,106,971,145,768
  5. Step 5: Solve for x
    x = 33,485,106,971,145,768/78,362,544.50
  6. Step 6: Final answer
    x = 427,310,103.12

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.