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Finding the Third Proportional to 30,646,728 and 65,943,060

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Solution

The third proportional to 30,646,728 and 65,943,060 is: 141,890,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,646,728 : 65,943,060 = 65,943,060 : x
  2. Step 2: Convert to fraction form
    30,646,728/65,943,060 = 65,943,060/x
  3. Step 3: Cross multiply
    30,646,728x = 65,943,060 × 65,943,060
  4. Step 4: Simplify right side
    30,646,728x = 4,348,487,162,163,600
  5. Step 5: Solve for x
    x = 4,348,487,162,163,600/30,646,728
  6. Step 6: Final answer
    x = 141,890,748.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.