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Finding the Third Proportional to 45,437 and 93,140.50

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Solution

The third proportional to 45,437 and 93,140.50 is: 190,927.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,437 : 93,140.50 = 93,140.50 : x
  2. Step 2: Convert to fraction form
    45,437/93,140.50 = 93,140.50/x
  3. Step 3: Cross multiply
    45,437x = 93,140.50 × 93,140.50
  4. Step 4: Simplify right side
    45,437x = 8,675,152,740.25
  5. Step 5: Solve for x
    x = 8,675,152,740.25/45,437
  6. Step 6: Final answer
    x = 190,927.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.