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Finding the Third Proportional to 249,490 and 390,926

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Solution

The third proportional to 249,490 and 390,926 is: 612,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,490 : 390,926 = 390,926 : x
  2. Step 2: Convert to fraction form
    249,490/390,926 = 390,926/x
  3. Step 3: Cross multiply
    249,490x = 390,926 × 390,926
  4. Step 4: Simplify right side
    249,490x = 152,823,137,476
  5. Step 5: Solve for x
    x = 152,823,137,476/249,490
  6. Step 6: Final answer
    x = 612,542.14

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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.