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Finding the Third Proportional to 245,614.15 and 390,564.91

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Solution

The third proportional to 245,614.15 and 390,564.91 is: 621,059.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,614.15 : 390,564.91 = 390,564.91 : x
  2. Step 2: Convert to fraction form
    245,614.15/390,564.91 = 390,564.91/x
  3. Step 3: Cross multiply
    245,614.15x = 390,564.91 × 390,564.91
  4. Step 4: Simplify right side
    245,614.15x = 152,540,952,096.65
  5. Step 5: Solve for x
    x = 152,540,952,096.65/245,614.15
  6. Step 6: Final answer
    x = 621,059.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.