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Finding the Third Proportional to 154,078,114,746 and 312,488,555,748

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Solution

The third proportional to 154,078,114,746 and 312,488,555,748 is: 633,763,579,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,078,114,746 : 312,488,555,748 = 312,488,555,748 : x
  2. Step 2: Convert to fraction form
    154,078,114,746/312,488,555,748 = 312,488,555,748/x
  3. Step 3: Cross multiply
    154,078,114,746x = 312,488,555,748 × 312,488,555,748
  4. Step 4: Simplify right side
    154,078,114,746x = 97,649,097,473,470,897,324,032
  5. Step 5: Solve for x
    x = 97,649,097,473,470,897,324,032/154,078,114,746
  6. Step 6: Final answer
    x = 633,763,579,171.82

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.