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Finding the Third Proportional to 421,863.75 and 653,389.75

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Solution

The third proportional to 421,863.75 and 653,389.75 is: 1,011,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,863.75 : 653,389.75 = 653,389.75 : x
  2. Step 2: Convert to fraction form
    421,863.75/653,389.75 = 653,389.75/x
  3. Step 3: Cross multiply
    421,863.75x = 653,389.75 × 653,389.75
  4. Step 4: Simplify right side
    421,863.75x = 426,918,165,405.06
  5. Step 5: Solve for x
    x = 426,918,165,405.06/421,863.75
  6. Step 6: Final answer
    x = 1,011,981.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.