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Finding the Third Proportional to 249,431 and 565,445

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Solution

The third proportional to 249,431 and 565,445 is: 1,281,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,431 : 565,445 = 565,445 : x
  2. Step 2: Convert to fraction form
    249,431/565,445 = 565,445/x
  3. Step 3: Cross multiply
    249,431x = 565,445 × 565,445
  4. Step 4: Simplify right side
    249,431x = 319,728,048,025
  5. Step 5: Solve for x
    x = 319,728,048,025/249,431
  6. Step 6: Final answer
    x = 1,281,829.64

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.