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Finding the Third Proportional to 486,836 and 711,417

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Solution

The third proportional to 486,836 and 711,417 is: 1,039,598.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,836 : 711,417 = 711,417 : x
  2. Step 2: Convert to fraction form
    486,836/711,417 = 711,417/x
  3. Step 3: Cross multiply
    486,836x = 711,417 × 711,417
  4. Step 4: Simplify right side
    486,836x = 506,114,147,889
  5. Step 5: Solve for x
    x = 506,114,147,889/486,836
  6. Step 6: Final answer
    x = 1,039,598.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.