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Finding the Third Proportional to 296,178 and 423,240

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Solution

The third proportional to 296,178 and 423,240 is: 604,812.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,178 : 423,240 = 423,240 : x
  2. Step 2: Convert to fraction form
    296,178/423,240 = 423,240/x
  3. Step 3: Cross multiply
    296,178x = 423,240 × 423,240
  4. Step 4: Simplify right side
    296,178x = 179,132,097,600
  5. Step 5: Solve for x
    x = 179,132,097,600/296,178
  6. Step 6: Final answer
    x = 604,812.30

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.