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Finding the Third Proportional to 99,422,478 and 216,054,486

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Solution

The third proportional to 99,422,478 and 216,054,486 is: 469,506,914.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,422,478 : 216,054,486 = 216,054,486 : x
  2. Step 2: Convert to fraction form
    99,422,478/216,054,486 = 216,054,486/x
  3. Step 3: Cross multiply
    99,422,478x = 216,054,486 × 216,054,486
  4. Step 4: Simplify right side
    99,422,478x = 46,679,540,920,724,192
  5. Step 5: Solve for x
    x = 46,679,540,920,724,192/99,422,478
  6. Step 6: Final answer
    x = 469,506,914.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.