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Finding the Third Proportional to 30,758,897.81 and 72,609,276.66

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Solution

The third proportional to 30,758,897.81 and 72,609,276.66 is: 171,401,039.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,758,897.81 : 72,609,276.66 = 72,609,276.66 : x
  2. Step 2: Convert to fraction form
    30,758,897.81/72,609,276.66 = 72,609,276.66/x
  3. Step 3: Cross multiply
    30,758,897.81x = 72,609,276.66 × 72,609,276.66
  4. Step 4: Simplify right side
    30,758,897.81x = 5,272,107,056,543,851
  5. Step 5: Solve for x
    x = 5,272,107,056,543,851/30,758,897.81
  6. Step 6: Final answer
    x = 171,401,039.42

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.