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Finding the Third Proportional to 98,774,399 and 212,719,774

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Solution

The third proportional to 98,774,399 and 212,719,774 is: 458,111,643.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774,399 : 212,719,774 = 212,719,774 : x
  2. Step 2: Convert to fraction form
    98,774,399/212,719,774 = 212,719,774/x
  3. Step 3: Cross multiply
    98,774,399x = 212,719,774 × 212,719,774
  4. Step 4: Simplify right side
    98,774,399x = 45,249,702,250,611,072
  5. Step 5: Solve for x
    x = 45,249,702,250,611,072/98,774,399
  6. Step 6: Final answer
    x = 458,111,643.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.