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Finding the Third Proportional to 249,482 and 390,914

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Solution

The third proportional to 249,482 and 390,914 is: 612,524.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,482 : 390,914 = 390,914 : x
  2. Step 2: Convert to fraction form
    249,482/390,914 = 390,914/x
  3. Step 3: Cross multiply
    249,482x = 390,914 × 390,914
  4. Step 4: Simplify right side
    249,482x = 152,813,755,396
  5. Step 5: Solve for x
    x = 152,813,755,396/249,482
  6. Step 6: Final answer
    x = 612,524.17

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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.