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Finding the Third Proportional to 78,323,314 and 169,663,868

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Solution

The third proportional to 78,323,314 and 169,663,868 is: 367,525,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,323,314 : 169,663,868 = 169,663,868 : x
  2. Step 2: Convert to fraction form
    78,323,314/169,663,868 = 169,663,868/x
  3. Step 3: Cross multiply
    78,323,314x = 169,663,868 × 169,663,868
  4. Step 4: Simplify right side
    78,323,314x = 28,785,828,104,721,424
  5. Step 5: Solve for x
    x = 28,785,828,104,721,424/78,323,314
  6. Step 6: Final answer
    x = 367,525,665.53

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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.