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Finding the Third Proportional to 423,430 and 908,258

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Solution

The third proportional to 423,430 and 908,258 is: 1,948,214.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,430 : 908,258 = 908,258 : x
  2. Step 2: Convert to fraction form
    423,430/908,258 = 908,258/x
  3. Step 3: Cross multiply
    423,430x = 908,258 × 908,258
  4. Step 4: Simplify right side
    423,430x = 824,932,594,564
  5. Step 5: Solve for x
    x = 824,932,594,564/423,430
  6. Step 6: Final answer
    x = 1,948,214.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.