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Finding the Third Proportional to 153,384,672 and 215,745,786

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Solution

The third proportional to 153,384,672 and 215,745,786 is: 303,460,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,384,672 : 215,745,786 = 215,745,786 : x
  2. Step 2: Convert to fraction form
    153,384,672/215,745,786 = 215,745,786/x
  3. Step 3: Cross multiply
    153,384,672x = 215,745,786 × 215,745,786
  4. Step 4: Simplify right side
    153,384,672x = 46,546,244,176,757,792
  5. Step 5: Solve for x
    x = 46,546,244,176,757,792/153,384,672
  6. Step 6: Final answer
    x = 303,460,858.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.