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Finding the Third Proportional to 91,098 and 130,038.75

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Solution

The third proportional to 91,098 and 130,038.75 is: 185,625.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,098 : 130,038.75 = 130,038.75 : x
  2. Step 2: Convert to fraction form
    91,098/130,038.75 = 130,038.75/x
  3. Step 3: Cross multiply
    91,098x = 130,038.75 × 130,038.75
  4. Step 4: Simplify right side
    91,098x = 16,910,076,501.56
  5. Step 5: Solve for x
    x = 16,910,076,501.56/91,098
  6. Step 6: Final answer
    x = 185,625.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.