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Finding the Third Proportional to 180,078.50 and 390,681

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Solution

The third proportional to 180,078.50 and 390,681 is: 847,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,078.50 : 390,681 = 390,681 : x
  2. Step 2: Convert to fraction form
    180,078.50/390,681 = 390,681/x
  3. Step 3: Cross multiply
    180,078.50x = 390,681 × 390,681
  4. Step 4: Simplify right side
    180,078.50x = 152,631,643,761
  5. Step 5: Solve for x
    x = 152,631,643,761/180,078.50
  6. Step 6: Final answer
    x = 847,583.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.