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Finding the Third Proportional to 712,810 and 942,207

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Solution

The third proportional to 712,810 and 942,207 is: 1,245,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,810 : 942,207 = 942,207 : x
  2. Step 2: Convert to fraction form
    712,810/942,207 = 942,207/x
  3. Step 3: Cross multiply
    712,810x = 942,207 × 942,207
  4. Step 4: Simplify right side
    712,810x = 887,754,030,849
  5. Step 5: Solve for x
    x = 887,754,030,849/712,810
  6. Step 6: Final answer
    x = 1,245,428.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.