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Finding the Third Proportional to 153,312 and 329,940

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Solution

The third proportional to 153,312 and 329,940 is: 710,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,312 : 329,940 = 329,940 : x
  2. Step 2: Convert to fraction form
    153,312/329,940 = 329,940/x
  3. Step 3: Cross multiply
    153,312x = 329,940 × 329,940
  4. Step 4: Simplify right side
    153,312x = 108,860,403,600
  5. Step 5: Solve for x
    x = 108,860,403,600/153,312
  6. Step 6: Final answer
    x = 710,057.94

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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.