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Finding the Third Proportional to 492,726 and 686,492

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Solution

The third proportional to 492,726 and 686,492 is: 956,457.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,726 : 686,492 = 686,492 : x
  2. Step 2: Convert to fraction form
    492,726/686,492 = 686,492/x
  3. Step 3: Cross multiply
    492,726x = 686,492 × 686,492
  4. Step 4: Simplify right side
    492,726x = 471,271,266,064
  5. Step 5: Solve for x
    x = 471,271,266,064/492,726
  6. Step 6: Final answer
    x = 956,457.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.