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Finding the Third Proportional to 315,688 and 482,928

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Solution

The third proportional to 315,688 and 482,928 is: 738,765.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,688 : 482,928 = 482,928 : x
  2. Step 2: Convert to fraction form
    315,688/482,928 = 482,928/x
  3. Step 3: Cross multiply
    315,688x = 482,928 × 482,928
  4. Step 4: Simplify right side
    315,688x = 233,219,453,184
  5. Step 5: Solve for x
    x = 233,219,453,184/315,688
  6. Step 6: Final answer
    x = 738,765.66

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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.