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Finding the Third Proportional to 30,756,861 and 65,489,202

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Solution

The third proportional to 30,756,861 and 65,489,202 is: 139,443,214.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756,861 : 65,489,202 = 65,489,202 : x
  2. Step 2: Convert to fraction form
    30,756,861/65,489,202 = 65,489,202/x
  3. Step 3: Cross multiply
    30,756,861x = 65,489,202 × 65,489,202
  4. Step 4: Simplify right side
    30,756,861x = 4,288,835,578,596,804
  5. Step 5: Solve for x
    x = 4,288,835,578,596,804/30,756,861
  6. Step 6: Final answer
    x = 139,443,214.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.