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Finding the Third Proportional to 249,902 and 357,111

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Solution

The third proportional to 249,902 and 357,111 is: 510,313.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,902 : 357,111 = 357,111 : x
  2. Step 2: Convert to fraction form
    249,902/357,111 = 357,111/x
  3. Step 3: Cross multiply
    249,902x = 357,111 × 357,111
  4. Step 4: Simplify right side
    249,902x = 127,528,266,321
  5. Step 5: Solve for x
    x = 127,528,266,321/249,902
  6. Step 6: Final answer
    x = 510,313.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.