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Finding the Third Proportional to 539,618 and 791,931

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Solution

The third proportional to 539,618 and 791,931 is: 1,162,219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,618 : 791,931 = 791,931 : x
  2. Step 2: Convert to fraction form
    539,618/791,931 = 791,931/x
  3. Step 3: Cross multiply
    539,618x = 791,931 × 791,931
  4. Step 4: Simplify right side
    539,618x = 627,154,708,761
  5. Step 5: Solve for x
    x = 627,154,708,761/539,618
  6. Step 6: Final answer
    x = 1,162,219.77

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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.