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Finding the Third Proportional to 709,973 and 1,528,203

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Solution

The third proportional to 709,973 and 1,528,203 is: 3,289,427.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,973 : 1,528,203 = 1,528,203 : x
  2. Step 2: Convert to fraction form
    709,973/1,528,203 = 1,528,203/x
  3. Step 3: Cross multiply
    709,973x = 1,528,203 × 1,528,203
  4. Step 4: Simplify right side
    709,973x = 2,335,404,409,209
  5. Step 5: Solve for x
    x = 2,335,404,409,209/709,973
  6. Step 6: Final answer
    x = 3,289,427.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.