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Finding the Third Proportional to 212,740 and 314,904

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Solution

The third proportional to 212,740 and 314,904 is: 466,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,740 : 314,904 = 314,904 : x
  2. Step 2: Convert to fraction form
    212,740/314,904 = 314,904/x
  3. Step 3: Cross multiply
    212,740x = 314,904 × 314,904
  4. Step 4: Simplify right side
    212,740x = 99,164,529,216
  5. Step 5: Solve for x
    x = 99,164,529,216/212,740
  6. Step 6: Final answer
    x = 466,130.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.