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Finding the Third Proportional to 141,778,564 and 212,431,318

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Solution

The third proportional to 141,778,564 and 212,431,318 is: 318,292,579.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,778,564 : 212,431,318 = 212,431,318 : x
  2. Step 2: Convert to fraction form
    141,778,564/212,431,318 = 212,431,318/x
  3. Step 3: Cross multiply
    141,778,564x = 212,431,318 × 212,431,318
  4. Step 4: Simplify right side
    141,778,564x = 45,127,064,867,217,120
  5. Step 5: Solve for x
    x = 45,127,064,867,217,120/141,778,564
  6. Step 6: Final answer
    x = 318,292,579.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.