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Finding the Third Proportional to 249,070 and 389,159

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Solution

The third proportional to 249,070 and 389,159 is: 608,040.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,070 : 389,159 = 389,159 : x
  2. Step 2: Convert to fraction form
    249,070/389,159 = 389,159/x
  3. Step 3: Cross multiply
    249,070x = 389,159 × 389,159
  4. Step 4: Simplify right side
    249,070x = 151,444,727,281
  5. Step 5: Solve for x
    x = 151,444,727,281/249,070
  6. Step 6: Final answer
    x = 608,040.82

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.