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Finding the Third Proportional to 133,078,380 and 289,590,211.50

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Solution

The third proportional to 133,078,380 and 289,590,211.50 is: 630,173,666.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,078,380 : 289,590,211.50 = 289,590,211.50 : x
  2. Step 2: Convert to fraction form
    133,078,380/289,590,211.50 = 289,590,211.50/x
  3. Step 3: Cross multiply
    133,078,380x = 289,590,211.50 × 289,590,211.50
  4. Step 4: Simplify right side
    133,078,380x = 83,862,490,596,614,736
  5. Step 5: Solve for x
    x = 83,862,490,596,614,736/133,078,380
  6. Step 6: Final answer
    x = 630,173,666.05

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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.