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Finding the Third Proportional to 99,638,490 and 215,653,182

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Solution

The third proportional to 99,638,490 and 215,653,182 is: 466,750,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,638,490 : 215,653,182 = 215,653,182 : x
  2. Step 2: Convert to fraction form
    99,638,490/215,653,182 = 215,653,182/x
  3. Step 3: Cross multiply
    99,638,490x = 215,653,182 × 215,653,182
  4. Step 4: Simplify right side
    99,638,490x = 46,506,294,906,725,120
  5. Step 5: Solve for x
    x = 46,506,294,906,725,120/99,638,490
  6. Step 6: Final answer
    x = 466,750,298.07

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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.