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Finding the Third Proportional to 530,648 and 816,618

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Solution

The third proportional to 530,648 and 816,618 is: 1,256,699.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,648 : 816,618 = 816,618 : x
  2. Step 2: Convert to fraction form
    530,648/816,618 = 816,618/x
  3. Step 3: Cross multiply
    530,648x = 816,618 × 816,618
  4. Step 4: Simplify right side
    530,648x = 666,864,957,924
  5. Step 5: Solve for x
    x = 666,864,957,924/530,648
  6. Step 6: Final answer
    x = 1,256,699.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.