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Finding the Third Proportional to 141,778,521 and 212,431,261.50

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Solution

The third proportional to 141,778,521 and 212,431,261.50 is: 318,292,506.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,778,521 : 212,431,261.50 = 212,431,261.50 : x
  2. Step 2: Convert to fraction form
    141,778,521/212,431,261.50 = 212,431,261.50/x
  3. Step 3: Cross multiply
    141,778,521x = 212,431,261.50 × 212,431,261.50
  4. Step 4: Simplify right side
    141,778,521x = 45,127,040,862,481,384
  5. Step 5: Solve for x
    x = 45,127,040,862,481,384/141,778,521
  6. Step 6: Final answer
    x = 318,292,506.82

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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.