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Finding the Third Proportional to 30,872,799 and 42,332,442.75

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Solution

The third proportional to 30,872,799 and 42,332,442.75 is: 58,045,780.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872,799 : 42,332,442.75 = 42,332,442.75 : x
  2. Step 2: Convert to fraction form
    30,872,799/42,332,442.75 = 42,332,442.75/x
  3. Step 3: Cross multiply
    30,872,799x = 42,332,442.75 × 42,332,442.75
  4. Step 4: Simplify right side
    30,872,799x = 1,792,035,709,182,027.50
  5. Step 5: Solve for x
    x = 1,792,035,709,182,027.50/30,872,799
  6. Step 6: Final answer
    x = 58,045,780.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.