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Finding the Third Proportional to 78,300,480 and 172,526,208

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Solution

The third proportional to 78,300,480 and 172,526,208 is: 380,141,889.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,300,480 : 172,526,208 = 172,526,208 : x
  2. Step 2: Convert to fraction form
    78,300,480/172,526,208 = 172,526,208/x
  3. Step 3: Cross multiply
    78,300,480x = 172,526,208 × 172,526,208
  4. Step 4: Simplify right side
    78,300,480x = 29,765,292,446,859,264
  5. Step 5: Solve for x
    x = 29,765,292,446,859,264/78,300,480
  6. Step 6: Final answer
    x = 380,141,889.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.