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Finding the Third Proportional to 118,295,496 and 258,853,680

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Solution

The third proportional to 118,295,496 and 258,853,680 is: 566,422,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,295,496 : 258,853,680 = 258,853,680 : x
  2. Step 2: Convert to fraction form
    118,295,496/258,853,680 = 258,853,680/x
  3. Step 3: Cross multiply
    118,295,496x = 258,853,680 × 258,853,680
  4. Step 4: Simplify right side
    118,295,496x = 67,005,227,649,542,400
  5. Step 5: Solve for x
    x = 67,005,227,649,542,400/118,295,496
  6. Step 6: Final answer
    x = 566,422,475.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.