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Finding the Third Proportional to 249,488 and 390,923

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Solution

The third proportional to 249,488 and 390,923 is: 612,537.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,488 : 390,923 = 390,923 : x
  2. Step 2: Convert to fraction form
    249,488/390,923 = 390,923/x
  3. Step 3: Cross multiply
    249,488x = 390,923 × 390,923
  4. Step 4: Simplify right side
    249,488x = 152,820,791,929
  5. Step 5: Solve for x
    x = 152,820,791,929/249,488
  6. Step 6: Final answer
    x = 612,537.64

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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.