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Finding the Third Proportional to 249,478 and 390,907

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Solution

The third proportional to 249,478 and 390,907 is: 612,512.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,478 : 390,907 = 390,907 : x
  2. Step 2: Convert to fraction form
    249,478/390,907 = 390,907/x
  3. Step 3: Cross multiply
    249,478x = 390,907 × 390,907
  4. Step 4: Simplify right side
    249,478x = 152,808,282,649
  5. Step 5: Solve for x
    x = 152,808,282,649/249,478
  6. Step 6: Final answer
    x = 612,512.06

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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.