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Finding the Third Proportional to 615,802.50 and 980,624.25

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Solution

The third proportional to 615,802.50 and 980,624.25 is: 1,561,578.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,802.50 : 980,624.25 = 980,624.25 : x
  2. Step 2: Convert to fraction form
    615,802.50/980,624.25 = 980,624.25/x
  3. Step 3: Cross multiply
    615,802.50x = 980,624.25 × 980,624.25
  4. Step 4: Simplify right side
    615,802.50x = 961,623,919,688.06
  5. Step 5: Solve for x
    x = 961,623,919,688.06/615,802.50
  6. Step 6: Final answer
    x = 1,561,578.46

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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.