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Finding the Third Proportional to 340,122 and 530,860.50

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Solution

The third proportional to 340,122 and 530,860.50 is: 828,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,122 : 530,860.50 = 530,860.50 : x
  2. Step 2: Convert to fraction form
    340,122/530,860.50 = 530,860.50/x
  3. Step 3: Cross multiply
    340,122x = 530,860.50 × 530,860.50
  4. Step 4: Simplify right side
    340,122x = 281,812,870,460.25
  5. Step 5: Solve for x
    x = 281,812,870,460.25/340,122
  6. Step 6: Final answer
    x = 828,564.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.