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Finding the Third Proportional to 215,908,812 and 470,153,304

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Solution

The third proportional to 215,908,812 and 470,153,304 is: 1,023,784,658.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,908,812 : 470,153,304 = 470,153,304 : x
  2. Step 2: Convert to fraction form
    215,908,812/470,153,304 = 470,153,304/x
  3. Step 3: Cross multiply
    215,908,812x = 470,153,304 × 470,153,304
  4. Step 4: Simplify right side
    215,908,812x = 221,044,129,262,116,416
  5. Step 5: Solve for x
    x = 221,044,129,262,116,416/215,908,812
  6. Step 6: Final answer
    x = 1,023,784,658.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.