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Finding the Third Proportional to 30,412,219.50 and 62,980,294.50

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Solution

The third proportional to 30,412,219.50 and 62,980,294.50 is: 130,425,123.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,412,219.50 : 62,980,294.50 = 62,980,294.50 : x
  2. Step 2: Convert to fraction form
    30,412,219.50/62,980,294.50 = 62,980,294.50/x
  3. Step 3: Cross multiply
    30,412,219.50x = 62,980,294.50 × 62,980,294.50
  4. Step 4: Simplify right side
    30,412,219.50x = 3,966,517,495,306,730
  5. Step 5: Solve for x
    x = 3,966,517,495,306,730/30,412,219.50
  6. Step 6: Final answer
    x = 130,425,123.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.