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Finding the Third Proportional to 343,802.50 and 812,904

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Solution

The third proportional to 343,802.50 and 812,904 is: 1,922,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,802.50 : 812,904 = 812,904 : x
  2. Step 2: Convert to fraction form
    343,802.50/812,904 = 812,904/x
  3. Step 3: Cross multiply
    343,802.50x = 812,904 × 812,904
  4. Step 4: Simplify right side
    343,802.50x = 660,812,913,216
  5. Step 5: Solve for x
    x = 660,812,913,216/343,802.50
  6. Step 6: Final answer
    x = 1,922,071.29

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.