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Finding the Third Proportional to 286,494.75 and 435,970.13

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Solution

The third proportional to 286,494.75 and 435,970.13 is: 663,432.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,494.75 : 435,970.13 = 435,970.13 : x
  2. Step 2: Convert to fraction form
    286,494.75/435,970.13 = 435,970.13/x
  3. Step 3: Cross multiply
    286,494.75x = 435,970.13 × 435,970.13
  4. Step 4: Simplify right side
    286,494.75x = 190,069,949,892.52
  5. Step 5: Solve for x
    x = 190,069,949,892.52/286,494.75
  6. Step 6: Final answer
    x = 663,432.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.