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Finding the Third Proportional to 74,293,470 and 156,107,196

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Solution

The third proportional to 74,293,470 and 156,107,196 is: 328,016,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,293,470 : 156,107,196 = 156,107,196 : x
  2. Step 2: Convert to fraction form
    74,293,470/156,107,196 = 156,107,196/x
  3. Step 3: Cross multiply
    74,293,470x = 156,107,196 × 156,107,196
  4. Step 4: Simplify right side
    74,293,470x = 24,369,456,642,982,416
  5. Step 5: Solve for x
    x = 24,369,456,642,982,416/74,293,470
  6. Step 6: Final answer
    x = 328,016,131.74

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.