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Finding the Third Proportional to 153,394 and 328,646

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Solution

The third proportional to 153,394 and 328,646 is: 704,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,394 : 328,646 = 328,646 : x
  2. Step 2: Convert to fraction form
    153,394/328,646 = 328,646/x
  3. Step 3: Cross multiply
    153,394x = 328,646 × 328,646
  4. Step 4: Simplify right side
    153,394x = 108,008,193,316
  5. Step 5: Solve for x
    x = 108,008,193,316/153,394
  6. Step 6: Final answer
    x = 704,122.67

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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.