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Finding the Third Proportional to 309,460.50 and 656,191.13

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Solution

The third proportional to 309,460.50 and 656,191.13 is: 1,391,411.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,460.50 : 656,191.13 = 656,191.13 : x
  2. Step 2: Convert to fraction form
    309,460.50/656,191.13 = 656,191.13/x
  3. Step 3: Cross multiply
    309,460.50x = 656,191.13 × 656,191.13
  4. Step 4: Simplify right side
    309,460.50x = 430,586,792,528.77
  5. Step 5: Solve for x
    x = 430,586,792,528.77/309,460.50
  6. Step 6: Final answer
    x = 1,391,411.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.