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Finding the Third Proportional to 153,470 and 328,260

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Solution

The third proportional to 153,470 and 328,260 is: 702,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,470 : 328,260 = 328,260 : x
  2. Step 2: Convert to fraction form
    153,470/328,260 = 328,260/x
  3. Step 3: Cross multiply
    153,470x = 328,260 × 328,260
  4. Step 4: Simplify right side
    153,470x = 107,754,627,600
  5. Step 5: Solve for x
    x = 107,754,627,600/153,470
  6. Step 6: Final answer
    x = 702,121.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.