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Finding the Third Proportional to 163,280 and 249,784

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Solution

The third proportional to 163,280 and 249,784 is: 382,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,280 : 249,784 = 249,784 : x
  2. Step 2: Convert to fraction form
    163,280/249,784 = 249,784/x
  3. Step 3: Cross multiply
    163,280x = 249,784 × 249,784
  4. Step 4: Simplify right side
    163,280x = 62,392,046,656
  5. Step 5: Solve for x
    x = 62,392,046,656/163,280
  6. Step 6: Final answer
    x = 382,116.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.