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Finding the Third Proportional to 615,382 and 931,284

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Solution

The third proportional to 615,382 and 931,284 is: 1,409,352.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,382 : 931,284 = 931,284 : x
  2. Step 2: Convert to fraction form
    615,382/931,284 = 931,284/x
  3. Step 3: Cross multiply
    615,382x = 931,284 × 931,284
  4. Step 4: Simplify right side
    615,382x = 867,289,888,656
  5. Step 5: Solve for x
    x = 867,289,888,656/615,382
  6. Step 6: Final answer
    x = 1,409,352.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.