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Finding the Third Proportional to 71,648,836 and 156,712,388

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Solution

The third proportional to 71,648,836 and 156,712,388 is: 342,765,827.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,648,836 : 156,712,388 = 156,712,388 : x
  2. Step 2: Convert to fraction form
    71,648,836/156,712,388 = 156,712,388/x
  3. Step 3: Cross multiply
    71,648,836x = 156,712,388 × 156,712,388
  4. Step 4: Simplify right side
    71,648,836x = 24,558,772,552,662,544
  5. Step 5: Solve for x
    x = 24,558,772,552,662,544/71,648,836
  6. Step 6: Final answer
    x = 342,765,827.38

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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.