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Finding the Third Proportional to 30,343,410 and 48,262,108.50

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Solution

The third proportional to 30,343,410 and 48,262,108.50 is: 76,762,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,343,410 : 48,262,108.50 = 48,262,108.50 : x
  2. Step 2: Convert to fraction form
    30,343,410/48,262,108.50 = 48,262,108.50/x
  3. Step 3: Cross multiply
    30,343,410x = 48,262,108.50 × 48,262,108.50
  4. Step 4: Simplify right side
    30,343,410x = 2,329,231,116,865,772
  5. Step 5: Solve for x
    x = 2,329,231,116,865,772/30,343,410
  6. Step 6: Final answer
    x = 76,762,338.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.