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Finding the Third Proportional to 338,431.50 and 507,718.50

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Solution

The third proportional to 338,431.50 and 507,718.50 is: 761,684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,431.50 : 507,718.50 = 507,718.50 : x
  2. Step 2: Convert to fraction form
    338,431.50/507,718.50 = 507,718.50/x
  3. Step 3: Cross multiply
    338,431.50x = 507,718.50 × 507,718.50
  4. Step 4: Simplify right side
    338,431.50x = 257,778,075,242.25
  5. Step 5: Solve for x
    x = 257,778,075,242.25/338,431.50
  6. Step 6: Final answer
    x = 761,684.64

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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.