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Finding the Third Proportional to 486,688 and 713,216

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Solution

The third proportional to 486,688 and 713,216 is: 1,045,181.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,688 : 713,216 = 713,216 : x
  2. Step 2: Convert to fraction form
    486,688/713,216 = 713,216/x
  3. Step 3: Cross multiply
    486,688x = 713,216 × 713,216
  4. Step 4: Simplify right side
    486,688x = 508,677,062,656
  5. Step 5: Solve for x
    x = 508,677,062,656/486,688
  6. Step 6: Final answer
    x = 1,045,181.02

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.