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Finding the Third Proportional to 100,197,572 and 220,776,871

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Solution

The third proportional to 100,197,572 and 220,776,871 is: 486,463,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,197,572 : 220,776,871 = 220,776,871 : x
  2. Step 2: Convert to fraction form
    100,197,572/220,776,871 = 220,776,871/x
  3. Step 3: Cross multiply
    100,197,572x = 220,776,871 × 220,776,871
  4. Step 4: Simplify right side
    100,197,572x = 48,742,426,768,550,640
  5. Step 5: Solve for x
    x = 48,742,426,768,550,640/100,197,572
  6. Step 6: Final answer
    x = 486,463,152.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.