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Finding the Third Proportional to 154,580 and 245,897

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Solution

The third proportional to 154,580 and 245,897 is: 391,158.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,580 : 245,897 = 245,897 : x
  2. Step 2: Convert to fraction form
    154,580/245,897 = 245,897/x
  3. Step 3: Cross multiply
    154,580x = 245,897 × 245,897
  4. Step 4: Simplify right side
    154,580x = 60,465,334,609
  5. Step 5: Solve for x
    x = 60,465,334,609/154,580
  6. Step 6: Final answer
    x = 391,158.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.