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Finding the Third Proportional to 249,492 and 390,929

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Solution

The third proportional to 249,492 and 390,929 is: 612,546.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,492 : 390,929 = 390,929 : x
  2. Step 2: Convert to fraction form
    249,492/390,929 = 390,929/x
  3. Step 3: Cross multiply
    249,492x = 390,929 × 390,929
  4. Step 4: Simplify right side
    249,492x = 152,825,483,041
  5. Step 5: Solve for x
    x = 152,825,483,041/249,492
  6. Step 6: Final answer
    x = 612,546.63

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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.