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Finding the Third Proportional to 128,280 and 296,935.13

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Solution

The third proportional to 128,280 and 296,935.13 is: 687,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,280 : 296,935.13 = 296,935.13 : x
  2. Step 2: Convert to fraction form
    128,280/296,935.13 = 296,935.13/x
  3. Step 3: Cross multiply
    128,280x = 296,935.13 × 296,935.13
  4. Step 4: Simplify right side
    128,280x = 88,170,468,458.77
  5. Step 5: Solve for x
    x = 88,170,468,458.77/128,280
  6. Step 6: Final answer
    x = 687,328.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.