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Finding the Third Proportional to 338,421 and 564,007.50

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Solution

The third proportional to 338,421 and 564,007.50 is: 939,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,421 : 564,007.50 = 564,007.50 : x
  2. Step 2: Convert to fraction form
    338,421/564,007.50 = 564,007.50/x
  3. Step 3: Cross multiply
    338,421x = 564,007.50 × 564,007.50
  4. Step 4: Simplify right side
    338,421x = 318,104,460,056.25
  5. Step 5: Solve for x
    x = 318,104,460,056.25/338,421
  6. Step 6: Final answer
    x = 939,966.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.