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Finding the Third Proportional to 147,967,155 and 206,866,791

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Solution

The third proportional to 147,967,155 and 206,866,791 is: 289,211,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,967,155 : 206,866,791 = 206,866,791 : x
  2. Step 2: Convert to fraction form
    147,967,155/206,866,791 = 206,866,791/x
  3. Step 3: Cross multiply
    147,967,155x = 206,866,791 × 206,866,791
  4. Step 4: Simplify right side
    147,967,155x = 42,793,869,218,637,680
  5. Step 5: Solve for x
    x = 42,793,869,218,637,680/147,967,155
  6. Step 6: Final answer
    x = 289,211,948.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.