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Finding the Third Proportional to 249,476.20 and 390,904.31

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Solution

The third proportional to 249,476.20 and 390,904.31 is: 612,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,476.20 : 390,904.31 = 390,904.31 : x
  2. Step 2: Convert to fraction form
    249,476.20/390,904.31 = 390,904.31/x
  3. Step 3: Cross multiply
    249,476.20x = 390,904.31 × 390,904.31
  4. Step 4: Simplify right side
    249,476.20x = 152,806,181,531.10
  5. Step 5: Solve for x
    x = 152,806,181,531.10/249,476.20
  6. Step 6: Final answer
    x = 612,508.05

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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.