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Finding the Third Proportional to 249,494 and 390,932

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Solution

The third proportional to 249,494 and 390,932 is: 612,551.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,494 : 390,932 = 390,932 : x
  2. Step 2: Convert to fraction form
    249,494/390,932 = 390,932/x
  3. Step 3: Cross multiply
    249,494x = 390,932 × 390,932
  4. Step 4: Simplify right side
    249,494x = 152,827,828,624
  5. Step 5: Solve for x
    x = 152,827,828,624/249,494
  6. Step 6: Final answer
    x = 612,551.12

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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.