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Finding the Third Proportional to 713,506 and 978,403

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Solution

The third proportional to 713,506 and 978,403 is: 1,341,645.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,506 : 978,403 = 978,403 : x
  2. Step 2: Convert to fraction form
    713,506/978,403 = 978,403/x
  3. Step 3: Cross multiply
    713,506x = 978,403 × 978,403
  4. Step 4: Simplify right side
    713,506x = 957,272,430,409
  5. Step 5: Solve for x
    x = 957,272,430,409/713,506
  6. Step 6: Final answer
    x = 1,341,645.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.