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Finding the Third Proportional to 153,913 and 245,882

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Solution

The third proportional to 153,913 and 245,882 is: 392,806.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,913 : 245,882 = 245,882 : x
  2. Step 2: Convert to fraction form
    153,913/245,882 = 245,882/x
  3. Step 3: Cross multiply
    153,913x = 245,882 × 245,882
  4. Step 4: Simplify right side
    153,913x = 60,457,957,924
  5. Step 5: Solve for x
    x = 60,457,957,924/153,913
  6. Step 6: Final answer
    x = 392,806.05

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.