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Finding the Third Proportional to 164,310 and 253,431

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Solution

The third proportional to 164,310 and 253,431 is: 390,890.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,310 : 253,431 = 253,431 : x
  2. Step 2: Convert to fraction form
    164,310/253,431 = 253,431/x
  3. Step 3: Cross multiply
    164,310x = 253,431 × 253,431
  4. Step 4: Simplify right side
    164,310x = 64,227,271,761
  5. Step 5: Solve for x
    x = 64,227,271,761/164,310
  6. Step 6: Final answer
    x = 390,890.83

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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.