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Finding the Third Proportional to 315,707.06 and 692,531.44

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Solution

The third proportional to 315,707.06 and 692,531.44 is: 1,519,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,707.06 : 692,531.44 = 692,531.44 : x
  2. Step 2: Convert to fraction form
    315,707.06/692,531.44 = 692,531.44/x
  3. Step 3: Cross multiply
    315,707.06x = 692,531.44 × 692,531.44
  4. Step 4: Simplify right side
    315,707.06x = 479,599,791,925.82
  5. Step 5: Solve for x
    x = 479,599,791,925.82/315,707.06
  6. Step 6: Final answer
    x = 1,519,129.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.