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Finding the Third Proportional to 6,490,218 and 13,849,120

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Solution

The third proportional to 6,490,218 and 13,849,120 is: 29,551,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490,218 : 13,849,120 = 13,849,120 : x
  2. Step 2: Convert to fraction form
    6,490,218/13,849,120 = 13,849,120/x
  3. Step 3: Cross multiply
    6,490,218x = 13,849,120 × 13,849,120
  4. Step 4: Simplify right side
    6,490,218x = 191,798,124,774,400
  5. Step 5: Solve for x
    x = 191,798,124,774,400/6,490,218
  6. Step 6: Final answer
    x = 29,551,877.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.