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Finding the Third Proportional to 422,925.75 and 912,345.75

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Solution

The third proportional to 422,925.75 and 912,345.75 is: 1,968,134.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,925.75 : 912,345.75 = 912,345.75 : x
  2. Step 2: Convert to fraction form
    422,925.75/912,345.75 = 912,345.75/x
  3. Step 3: Cross multiply
    422,925.75x = 912,345.75 × 912,345.75
  4. Step 4: Simplify right side
    422,925.75x = 832,374,767,543.06
  5. Step 5: Solve for x
    x = 832,374,767,543.06/422,925.75
  6. Step 6: Final answer
    x = 1,968,134.52

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