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Finding the Third Proportional to 615,387 and 931,281

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Solution

The third proportional to 615,387 and 931,281 is: 1,409,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,387 : 931,281 = 931,281 : x
  2. Step 2: Convert to fraction form
    615,387/931,281 = 931,281/x
  3. Step 3: Cross multiply
    615,387x = 931,281 × 931,281
  4. Step 4: Simplify right side
    615,387x = 867,284,300,961
  5. Step 5: Solve for x
    x = 867,284,300,961/615,387
  6. Step 6: Final answer
    x = 1,409,331.53

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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.