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Finding the Third Proportional to 153,044 and 330,680

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Solution

The third proportional to 153,044 and 330,680 is: 714,495.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,044 : 330,680 = 330,680 : x
  2. Step 2: Convert to fraction form
    153,044/330,680 = 330,680/x
  3. Step 3: Cross multiply
    153,044x = 330,680 × 330,680
  4. Step 4: Simplify right side
    153,044x = 109,349,262,400
  5. Step 5: Solve for x
    x = 109,349,262,400/153,044
  6. Step 6: Final answer
    x = 714,495.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.