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Finding the Third Proportional to 212,488,128 and 312,655,956

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Solution

The third proportional to 212,488,128 and 312,655,956 is: 460,043,333.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,488,128 : 312,655,956 = 312,655,956 : x
  2. Step 2: Convert to fraction form
    212,488,128/312,655,956 = 312,655,956/x
  3. Step 3: Cross multiply
    212,488,128x = 312,655,956 × 312,655,956
  4. Step 4: Simplify right side
    212,488,128x = 97,753,746,822,273,936
  5. Step 5: Solve for x
    x = 97,753,746,822,273,936/212,488,128
  6. Step 6: Final answer
    x = 460,043,333.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.