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Finding the Third Proportional to 53,490 and 106,020.75

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Solution

The third proportional to 53,490 and 106,020.75 is: 210,140.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,490 : 106,020.75 = 106,020.75 : x
  2. Step 2: Convert to fraction form
    53,490/106,020.75 = 106,020.75/x
  3. Step 3: Cross multiply
    53,490x = 106,020.75 × 106,020.75
  4. Step 4: Simplify right side
    53,490x = 11,240,399,430.56
  5. Step 5: Solve for x
    x = 11,240,399,430.56/53,490
  6. Step 6: Final answer
    x = 210,140.20

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.