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Finding the Third Proportional to 153,018 and 236,358

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Solution

The third proportional to 153,018 and 236,358 is: 365,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,018 : 236,358 = 236,358 : x
  2. Step 2: Convert to fraction form
    153,018/236,358 = 236,358/x
  3. Step 3: Cross multiply
    153,018x = 236,358 × 236,358
  4. Step 4: Simplify right side
    153,018x = 55,865,104,164
  5. Step 5: Solve for x
    x = 55,865,104,164/153,018
  6. Step 6: Final answer
    x = 365,088.45

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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.