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Finding the Third Proportional to 9,828,288 and 14,879,848.50

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Solution

The third proportional to 9,828,288 and 14,879,848.50 is: 22,527,818.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828,288 : 14,879,848.50 = 14,879,848.50 : x
  2. Step 2: Convert to fraction form
    9,828,288/14,879,848.50 = 14,879,848.50/x
  3. Step 3: Cross multiply
    9,828,288x = 14,879,848.50 × 14,879,848.50
  4. Step 4: Simplify right side
    9,828,288x = 221,409,891,382,952.25
  5. Step 5: Solve for x
    x = 221,409,891,382,952.25/9,828,288
  6. Step 6: Final answer
    x = 22,527,818.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.