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Finding the Third Proportional to 235,440 and 360,072

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Solution

The third proportional to 235,440 and 360,072 is: 550,678.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,440 : 360,072 = 360,072 : x
  2. Step 2: Convert to fraction form
    235,440/360,072 = 360,072/x
  3. Step 3: Cross multiply
    235,440x = 360,072 × 360,072
  4. Step 4: Simplify right side
    235,440x = 129,651,845,184
  5. Step 5: Solve for x
    x = 129,651,845,184/235,440
  6. Step 6: Final answer
    x = 550,678.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.