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Finding the Third Proportional to 164,129,312 and 355,495,040

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Solution

The third proportional to 164,129,312 and 355,495,040 is: 769,982,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,129,312 : 355,495,040 = 355,495,040 : x
  2. Step 2: Convert to fraction form
    164,129,312/355,495,040 = 355,495,040/x
  3. Step 3: Cross multiply
    164,129,312x = 355,495,040 × 355,495,040
  4. Step 4: Simplify right side
    164,129,312x = 126,376,723,464,601,600
  5. Step 5: Solve for x
    x = 126,376,723,464,601,600/164,129,312
  6. Step 6: Final answer
    x = 769,982,655.29

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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.