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Finding the Third Proportional to 338,430.66 and 507,710.53

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Solution

The third proportional to 338,430.66 and 507,710.53 is: 761,662.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,430.66 : 507,710.53 = 507,710.53 : x
  2. Step 2: Convert to fraction form
    338,430.66/507,710.53 = 507,710.53/x
  3. Step 3: Cross multiply
    338,430.66x = 507,710.53 × 507,710.53
  4. Step 4: Simplify right side
    338,430.66x = 257,769,983,542.16
  5. Step 5: Solve for x
    x = 257,769,983,542.16/338,430.66
  6. Step 6: Final answer
    x = 761,662.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.