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Finding the Third Proportional to 60,314.63 and 128,643.19

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Solution

The third proportional to 60,314.63 and 128,643.19 is: 274,379.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,314.63 : 128,643.19 = 128,643.19 : x
  2. Step 2: Convert to fraction form
    60,314.63/128,643.19 = 128,643.19/x
  3. Step 3: Cross multiply
    60,314.63x = 128,643.19 × 128,643.19
  4. Step 4: Simplify right side
    60,314.63x = 16,549,069,690.16
  5. Step 5: Solve for x
    x = 16,549,069,690.16/60,314.63
  6. Step 6: Final answer
    x = 274,379.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.