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Finding the Third Proportional to 243,685 and 506,871

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Solution

The third proportional to 243,685 and 506,871 is: 1,054,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,685 : 506,871 = 506,871 : x
  2. Step 2: Convert to fraction form
    243,685/506,871 = 506,871/x
  3. Step 3: Cross multiply
    243,685x = 506,871 × 506,871
  4. Step 4: Simplify right side
    243,685x = 256,918,210,641
  5. Step 5: Solve for x
    x = 256,918,210,641/243,685
  6. Step 6: Final answer
    x = 1,054,304.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.