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Finding the Third Proportional to 262,778 and 578,038

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Solution

The third proportional to 262,778 and 578,038 is: 1,271,521.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,778 : 578,038 = 578,038 : x
  2. Step 2: Convert to fraction form
    262,778/578,038 = 578,038/x
  3. Step 3: Cross multiply
    262,778x = 578,038 × 578,038
  4. Step 4: Simplify right side
    262,778x = 334,127,929,444
  5. Step 5: Solve for x
    x = 334,127,929,444/262,778
  6. Step 6: Final answer
    x = 1,271,521.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.