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Finding the Third Proportional to 142,495,394 and 311,226,028

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Solution

The third proportional to 142,495,394 and 311,226,028 is: 679,752,782.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,495,394 : 311,226,028 = 311,226,028 : x
  2. Step 2: Convert to fraction form
    142,495,394/311,226,028 = 311,226,028/x
  3. Step 3: Cross multiply
    142,495,394x = 311,226,028 × 311,226,028
  4. Step 4: Simplify right side
    142,495,394x = 96,861,640,504,656,784
  5. Step 5: Solve for x
    x = 96,861,640,504,656,784/142,495,394
  6. Step 6: Final answer
    x = 679,752,782.08

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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.