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Finding the Third Proportional to 415,807 and 875,082

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Solution

The third proportional to 415,807 and 875,082 is: 1,841,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,807 : 875,082 = 875,082 : x
  2. Step 2: Convert to fraction form
    415,807/875,082 = 875,082/x
  3. Step 3: Cross multiply
    415,807x = 875,082 × 875,082
  4. Step 4: Simplify right side
    415,807x = 765,768,506,724
  5. Step 5: Solve for x
    x = 765,768,506,724/415,807
  6. Step 6: Final answer
    x = 1,841,644.10

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.