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Finding the Third Proportional to 140,633,478 and 308,495,928

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Solution

The third proportional to 140,633,478 and 308,495,928 is: 676,721,780.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,633,478 : 308,495,928 = 308,495,928 : x
  2. Step 2: Convert to fraction form
    140,633,478/308,495,928 = 308,495,928/x
  3. Step 3: Cross multiply
    140,633,478x = 308,495,928 × 308,495,928
  4. Step 4: Simplify right side
    140,633,478x = 95,169,737,592,581,184
  5. Step 5: Solve for x
    x = 95,169,737,592,581,184/140,633,478
  6. Step 6: Final answer
    x = 676,721,780.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.