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Finding the Third Proportional to 30,386,223 and 70,283,722.50

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Solution

The third proportional to 30,386,223 and 70,283,722.50 is: 162,567,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386,223 : 70,283,722.50 = 70,283,722.50 : x
  2. Step 2: Convert to fraction form
    30,386,223/70,283,722.50 = 70,283,722.50/x
  3. Step 3: Cross multiply
    30,386,223x = 70,283,722.50 × 70,283,722.50
  4. Step 4: Simplify right side
    30,386,223x = 4,939,801,648,457,006
  5. Step 5: Solve for x
    x = 4,939,801,648,457,006/30,386,223
  6. Step 6: Final answer
    x = 162,567,149.21

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.