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Finding the Third Proportional to 78,140,632.50 and 170,167,257

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Solution

The third proportional to 78,140,632.50 and 170,167,257 is: 370,574,110.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,140,632.50 : 170,167,257 = 170,167,257 : x
  2. Step 2: Convert to fraction form
    78,140,632.50/170,167,257 = 170,167,257/x
  3. Step 3: Cross multiply
    78,140,632.50x = 170,167,257 × 170,167,257
  4. Step 4: Simplify right side
    78,140,632.50x = 28,956,895,354,904,048
  5. Step 5: Solve for x
    x = 28,956,895,354,904,048/78,140,632.50
  6. Step 6: Final answer
    x = 370,574,110.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.