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Finding the Third Proportional to 12,967,499 and 30,017,421

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Solution

The third proportional to 12,967,499 and 30,017,421 is: 69,484,914.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,967,499 : 30,017,421 = 30,017,421 : x
  2. Step 2: Convert to fraction form
    12,967,499/30,017,421 = 30,017,421/x
  3. Step 3: Cross multiply
    12,967,499x = 30,017,421 × 30,017,421
  4. Step 4: Simplify right side
    12,967,499x = 901,045,563,491,241
  5. Step 5: Solve for x
    x = 901,045,563,491,241/12,967,499
  6. Step 6: Final answer
    x = 69,484,914.82

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.