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Finding the Third Proportional to 9,098,698.50 and 19,476,783

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Solution

The third proportional to 9,098,698.50 and 19,476,783 is: 41,692,235.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098,698.50 : 19,476,783 = 19,476,783 : x
  2. Step 2: Convert to fraction form
    9,098,698.50/19,476,783 = 19,476,783/x
  3. Step 3: Cross multiply
    9,098,698.50x = 19,476,783 × 19,476,783
  4. Step 4: Simplify right side
    9,098,698.50x = 379,345,076,029,089
  5. Step 5: Solve for x
    x = 379,345,076,029,089/9,098,698.50
  6. Step 6: Final answer
    x = 41,692,235.00

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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.