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Finding the Third Proportional to 315,140 and 472,938

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Solution

The third proportional to 315,140 and 472,938 is: 709,749.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,140 : 472,938 = 472,938 : x
  2. Step 2: Convert to fraction form
    315,140/472,938 = 472,938/x
  3. Step 3: Cross multiply
    315,140x = 472,938 × 472,938
  4. Step 4: Simplify right side
    315,140x = 223,670,351,844
  5. Step 5: Solve for x
    x = 223,670,351,844/315,140
  6. Step 6: Final answer
    x = 709,749.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.