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Finding the Third Proportional to 78,556,424 and 170,710,319

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Solution

The third proportional to 78,556,424 and 170,710,319 is: 370,969,190.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556,424 : 170,710,319 = 170,710,319 : x
  2. Step 2: Convert to fraction form
    78,556,424/170,710,319 = 170,710,319/x
  3. Step 3: Cross multiply
    78,556,424x = 170,710,319 × 170,710,319
  4. Step 4: Simplify right side
    78,556,424x = 29,142,013,013,081,760
  5. Step 5: Solve for x
    x = 29,142,013,013,081,760/78,556,424
  6. Step 6: Final answer
    x = 370,969,190.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.