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Finding the Third Proportional to 30,063,120 and 64,377,769.50

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Solution

The third proportional to 30,063,120 and 64,377,769.50 is: 137,859,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,063,120 : 64,377,769.50 = 64,377,769.50 : x
  2. Step 2: Convert to fraction form
    30,063,120/64,377,769.50 = 64,377,769.50/x
  3. Step 3: Cross multiply
    30,063,120x = 64,377,769.50 × 64,377,769.50
  4. Step 4: Simplify right side
    30,063,120x = 4,144,497,205,795,130
  5. Step 5: Solve for x
    x = 4,144,497,205,795,130/30,063,120
  6. Step 6: Final answer
    x = 137,859,849.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.