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Finding the Third Proportional to 94,000.50 and 145,192.50

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Solution

The third proportional to 94,000.50 and 145,192.50 is: 224,263.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,000.50 : 145,192.50 = 145,192.50 : x
  2. Step 2: Convert to fraction form
    94,000.50/145,192.50 = 145,192.50/x
  3. Step 3: Cross multiply
    94,000.50x = 145,192.50 × 145,192.50
  4. Step 4: Simplify right side
    94,000.50x = 21,080,862,056.25
  5. Step 5: Solve for x
    x = 21,080,862,056.25/94,000.50
  6. Step 6: Final answer
    x = 224,263.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.