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Finding the Third Proportional to 153,445 and 334,781

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Solution

The third proportional to 153,445 and 334,781 is: 730,413.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,445 : 334,781 = 334,781 : x
  2. Step 2: Convert to fraction form
    153,445/334,781 = 334,781/x
  3. Step 3: Cross multiply
    153,445x = 334,781 × 334,781
  4. Step 4: Simplify right side
    153,445x = 112,078,317,961
  5. Step 5: Solve for x
    x = 112,078,317,961/153,445
  6. Step 6: Final answer
    x = 730,413.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.