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Finding the Third Proportional to 153,465 and 236,758

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Solution

The third proportional to 153,465 and 236,758 is: 365,258.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,465 : 236,758 = 236,758 : x
  2. Step 2: Convert to fraction form
    153,465/236,758 = 236,758/x
  3. Step 3: Cross multiply
    153,465x = 236,758 × 236,758
  4. Step 4: Simplify right side
    153,465x = 56,054,350,564
  5. Step 5: Solve for x
    x = 56,054,350,564/153,465
  6. Step 6: Final answer
    x = 365,258.21

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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.