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Finding the Third Proportional to 249,147 and 531,513

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Solution

The third proportional to 249,147 and 531,513 is: 1,133,893.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,147 : 531,513 = 531,513 : x
  2. Step 2: Convert to fraction form
    249,147/531,513 = 531,513/x
  3. Step 3: Cross multiply
    249,147x = 531,513 × 531,513
  4. Step 4: Simplify right side
    249,147x = 282,506,069,169
  5. Step 5: Solve for x
    x = 282,506,069,169/249,147
  6. Step 6: Final answer
    x = 1,133,893.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.