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Finding the Third Proportional to 421,254 and 546,489

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Solution

The third proportional to 421,254 and 546,489 is: 708,955.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,254 : 546,489 = 546,489 : x
  2. Step 2: Convert to fraction form
    421,254/546,489 = 546,489/x
  3. Step 3: Cross multiply
    421,254x = 546,489 × 546,489
  4. Step 4: Simplify right side
    421,254x = 298,650,227,121
  5. Step 5: Solve for x
    x = 298,650,227,121/421,254
  6. Step 6: Final answer
    x = 708,955.23

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.