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Finding the Third Proportional to 141,778,566 and 212,431,321

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Solution

The third proportional to 141,778,566 and 212,431,321 is: 318,292,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,778,566 : 212,431,321 = 212,431,321 : x
  2. Step 2: Convert to fraction form
    141,778,566/212,431,321 = 212,431,321/x
  3. Step 3: Cross multiply
    141,778,566x = 212,431,321 × 212,431,321
  4. Step 4: Simplify right side
    141,778,566x = 45,127,066,141,805,040
  5. Step 5: Solve for x
    x = 45,127,066,141,805,040/141,778,566
  6. Step 6: Final answer
    x = 318,292,584.10

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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.