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Finding the Third Proportional to 249,549.19 and 390,961.69

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Solution

The third proportional to 249,549.19 and 390,961.69 is: 612,508.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,549.19 : 390,961.69 = 390,961.69 : x
  2. Step 2: Convert to fraction form
    249,549.19/390,961.69 = 390,961.69/x
  3. Step 3: Cross multiply
    249,549.19x = 390,961.69 × 390,961.69
  4. Step 4: Simplify right side
    249,549.19x = 152,851,041,092.85
  5. Step 5: Solve for x
    x = 152,851,041,092.85/249,549.19
  6. Step 6: Final answer
    x = 612,508.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.