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Finding the Third Proportional to 321,780 and 473,374.50

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Solution

The third proportional to 321,780 and 473,374.50 is: 696,387.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,780 : 473,374.50 = 473,374.50 : x
  2. Step 2: Convert to fraction form
    321,780/473,374.50 = 473,374.50/x
  3. Step 3: Cross multiply
    321,780x = 473,374.50 × 473,374.50
  4. Step 4: Simplify right side
    321,780x = 224,083,417,250.25
  5. Step 5: Solve for x
    x = 224,083,417,250.25/321,780
  6. Step 6: Final answer
    x = 696,387.03

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.