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Finding the Third Proportional to 427,830.75 and 908,140.50

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Solution

The third proportional to 427,830.75 and 908,140.50 is: 1,927,676.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,830.75 : 908,140.50 = 908,140.50 : x
  2. Step 2: Convert to fraction form
    427,830.75/908,140.50 = 908,140.50/x
  3. Step 3: Cross multiply
    427,830.75x = 908,140.50 × 908,140.50
  4. Step 4: Simplify right side
    427,830.75x = 824,719,167,740.25
  5. Step 5: Solve for x
    x = 824,719,167,740.25/427,830.75
  6. Step 6: Final answer
    x = 1,927,676.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.