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Finding the Third Proportional to 178,921,164 and 391,341,336

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Solution

The third proportional to 178,921,164 and 391,341,336 is: 855,952,632.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,921,164 : 391,341,336 = 391,341,336 : x
  2. Step 2: Convert to fraction form
    178,921,164/391,341,336 = 391,341,336/x
  3. Step 3: Cross multiply
    178,921,164x = 391,341,336 × 391,341,336
  4. Step 4: Simplify right side
    178,921,164x = 153,148,041,262,264,896
  5. Step 5: Solve for x
    x = 153,148,041,262,264,896/178,921,164
  6. Step 6: Final answer
    x = 855,952,632.09

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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.