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Finding the Third Proportional to 5,403,429 and 8,357,642.44

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Solution

The third proportional to 5,403,429 and 8,357,642.44 is: 12,927,011.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403,429 : 8,357,642.44 = 8,357,642.44 : x
  2. Step 2: Convert to fraction form
    5,403,429/8,357,642.44 = 8,357,642.44/x
  3. Step 3: Cross multiply
    5,403,429x = 8,357,642.44 × 8,357,642.44
  4. Step 4: Simplify right side
    5,403,429x = 69,850,187,113,100.94
  5. Step 5: Solve for x
    x = 69,850,187,113,100.94/5,403,429
  6. Step 6: Final answer
    x = 12,927,011.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.