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Finding the Third Proportional to 30,858,765.75 and 42,031,089

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Solution

The third proportional to 30,858,765.75 and 42,031,089 is: 57,248,318.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858,765.75 : 42,031,089 = 42,031,089 : x
  2. Step 2: Convert to fraction form
    30,858,765.75/42,031,089 = 42,031,089/x
  3. Step 3: Cross multiply
    30,858,765.75x = 42,031,089 × 42,031,089
  4. Step 4: Simplify right side
    30,858,765.75x = 1,766,612,442,525,921
  5. Step 5: Solve for x
    x = 1,766,612,442,525,921/30,858,765.75
  6. Step 6: Final answer
    x = 57,248,318.25

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.