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Finding the Third Proportional to 76,750,272 and 156,583,566

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Solution

The third proportional to 76,750,272 and 156,583,566 is: 319,457,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750,272 : 156,583,566 = 156,583,566 : x
  2. Step 2: Convert to fraction form
    76,750,272/156,583,566 = 156,583,566/x
  3. Step 3: Cross multiply
    76,750,272x = 156,583,566 × 156,583,566
  4. Step 4: Simplify right side
    76,750,272x = 24,518,413,141,276,356
  5. Step 5: Solve for x
    x = 24,518,413,141,276,356/76,750,272
  6. Step 6: Final answer
    x = 319,457,019.53

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.