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Finding the Third Proportional to 432,618 and 578,687

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Solution

The third proportional to 432,618 and 578,687 is: 774,074.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,618 : 578,687 = 578,687 : x
  2. Step 2: Convert to fraction form
    432,618/578,687 = 578,687/x
  3. Step 3: Cross multiply
    432,618x = 578,687 × 578,687
  4. Step 4: Simplify right side
    432,618x = 334,878,643,969
  5. Step 5: Solve for x
    x = 334,878,643,969/432,618
  6. Step 6: Final answer
    x = 774,074.69

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.