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Finding the Third Proportional to 239,445 and 348,637.50

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Solution

The third proportional to 239,445 and 348,637.50 is: 507,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,445 : 348,637.50 = 348,637.50 : x
  2. Step 2: Convert to fraction form
    239,445/348,637.50 = 348,637.50/x
  3. Step 3: Cross multiply
    239,445x = 348,637.50 × 348,637.50
  4. Step 4: Simplify right side
    239,445x = 121,548,106,406.25
  5. Step 5: Solve for x
    x = 121,548,106,406.25/239,445
  6. Step 6: Final answer
    x = 507,624.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.