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Finding the Third Proportional to 99,638,506 and 215,653,214

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Solution

The third proportional to 99,638,506 and 215,653,214 is: 466,750,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638,506 : 215,653,214 = 215,653,214 : x
  2. Step 2: Convert to fraction form
    99,638,506/215,653,214 = 215,653,214/x
  3. Step 3: Cross multiply
    99,638,506x = 215,653,214 × 215,653,214
  4. Step 4: Simplify right side
    99,638,506x = 46,506,308,708,529,792
  5. Step 5: Solve for x
    x = 46,506,308,708,529,792/99,638,506
  6. Step 6: Final answer
    x = 466,750,361.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.