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Finding the Third Proportional to 249,478.69 and 390,908.06

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Solution

The third proportional to 249,478.69 and 390,908.06 is: 612,513.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,478.69 : 390,908.06 = 390,908.06 : x
  2. Step 2: Convert to fraction form
    249,478.69/390,908.06 = 390,908.06/x
  3. Step 3: Cross multiply
    249,478.69x = 390,908.06 × 390,908.06
  4. Step 4: Simplify right side
    249,478.69x = 152,809,113,327.50
  5. Step 5: Solve for x
    x = 152,809,113,327.50/249,478.69
  6. Step 6: Final answer
    x = 612,513.70

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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.