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Finding the Third Proportional to 153,391 and 328,106

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Solution

The third proportional to 153,391 and 328,106 is: 701,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,391 : 328,106 = 328,106 : x
  2. Step 2: Convert to fraction form
    153,391/328,106 = 328,106/x
  3. Step 3: Cross multiply
    153,391x = 328,106 × 328,106
  4. Step 4: Simplify right side
    153,391x = 107,653,547,236
  5. Step 5: Solve for x
    x = 107,653,547,236/153,391
  6. Step 6: Final answer
    x = 701,824.40

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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.