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Finding the Third Proportional to 218,129,368 and 477,304,405

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Solution

The third proportional to 218,129,368 and 477,304,405 is: 1,044,423,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,129,368 : 477,304,405 = 477,304,405 : x
  2. Step 2: Convert to fraction form
    218,129,368/477,304,405 = 477,304,405/x
  3. Step 3: Cross multiply
    218,129,368x = 477,304,405 × 477,304,405
  4. Step 4: Simplify right side
    218,129,368x = 227,819,495,032,404,032
  5. Step 5: Solve for x
    x = 227,819,495,032,404,032/218,129,368
  6. Step 6: Final answer
    x = 1,044,423,761.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.