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Finding the Third Proportional to 12,385,072 and 19,129,840

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Solution

The third proportional to 12,385,072 and 19,129,840 is: 29,547,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,385,072 : 19,129,840 = 19,129,840 : x
  2. Step 2: Convert to fraction form
    12,385,072/19,129,840 = 19,129,840/x
  3. Step 3: Cross multiply
    12,385,072x = 19,129,840 × 19,129,840
  4. Step 4: Simplify right side
    12,385,072x = 365,950,778,425,600
  5. Step 5: Solve for x
    x = 365,950,778,425,600/12,385,072
  6. Step 6: Final answer
    x = 29,547,731.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.