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Finding the Third Proportional to 98,774,406 and 212,719,764

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Solution

The third proportional to 98,774,406 and 212,719,764 is: 458,111,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,774,406 : 212,719,764 = 212,719,764 : x
  2. Step 2: Convert to fraction form
    98,774,406/212,719,764 = 212,719,764/x
  3. Step 3: Cross multiply
    98,774,406x = 212,719,764 × 212,719,764
  4. Step 4: Simplify right side
    98,774,406x = 45,249,697,996,215,696
  5. Step 5: Solve for x
    x = 45,249,697,996,215,696/98,774,406
  6. Step 6: Final answer
    x = 458,111,567.85

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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.