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Finding the Third Proportional to 355,070.25 and 499,432.50

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Solution

The third proportional to 355,070.25 and 499,432.50 is: 702,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,070.25 : 499,432.50 = 499,432.50 : x
  2. Step 2: Convert to fraction form
    355,070.25/499,432.50 = 499,432.50/x
  3. Step 3: Cross multiply
    355,070.25x = 499,432.50 × 499,432.50
  4. Step 4: Simplify right side
    355,070.25x = 249,432,822,056.25
  5. Step 5: Solve for x
    x = 249,432,822,056.25/355,070.25
  6. Step 6: Final answer
    x = 702,488.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.