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Finding the Third Proportional to 132,861,223.50 and 289,898,640

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Solution

The third proportional to 132,861,223.50 and 289,898,640 is: 632,548,905.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,861,223.50 : 289,898,640 = 289,898,640 : x
  2. Step 2: Convert to fraction form
    132,861,223.50/289,898,640 = 289,898,640/x
  3. Step 3: Cross multiply
    132,861,223.50x = 289,898,640 × 289,898,640
  4. Step 4: Simplify right side
    132,861,223.50x = 84,041,221,473,849,600
  5. Step 5: Solve for x
    x = 84,041,221,473,849,600/132,861,223.50
  6. Step 6: Final answer
    x = 632,548,905.24

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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.