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Finding the Third Proportional to 360,802.50 and 778,807.50

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Solution

The third proportional to 360,802.50 and 778,807.50 is: 1,681,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,802.50 : 778,807.50 = 778,807.50 : x
  2. Step 2: Convert to fraction form
    360,802.50/778,807.50 = 778,807.50/x
  3. Step 3: Cross multiply
    360,802.50x = 778,807.50 × 778,807.50
  4. Step 4: Simplify right side
    360,802.50x = 606,541,122,056.25
  5. Step 5: Solve for x
    x = 606,541,122,056.25/360,802.50
  6. Step 6: Final answer
    x = 1,681,089.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.