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Finding the Third Proportional to 60,345 and 128,703.94

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Solution

The third proportional to 60,345 and 128,703.94 is: 274,500.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,345 : 128,703.94 = 128,703.94 : x
  2. Step 2: Convert to fraction form
    60,345/128,703.94 = 128,703.94/x
  3. Step 3: Cross multiply
    60,345x = 128,703.94 × 128,703.94
  4. Step 4: Simplify right side
    60,345x = 16,564,703,528.00
  5. Step 5: Solve for x
    x = 16,564,703,528.00/60,345
  6. Step 6: Final answer
    x = 274,500.02

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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.