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Finding the Third Proportional to 58,476 and 90,710

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Solution

The third proportional to 58,476 and 90,710 is: 140,712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,476 : 90,710 = 90,710 : x
  2. Step 2: Convert to fraction form
    58,476/90,710 = 90,710/x
  3. Step 3: Cross multiply
    58,476x = 90,710 × 90,710
  4. Step 4: Simplify right side
    58,476x = 8,228,304,100
  5. Step 5: Solve for x
    x = 8,228,304,100/58,476
  6. Step 6: Final answer
    x = 140,712.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.