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Finding the Third Proportional to 316,047 and 696,513

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Solution

The third proportional to 316,047 and 696,513 is: 1,534,994.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,047 : 696,513 = 696,513 : x
  2. Step 2: Convert to fraction form
    316,047/696,513 = 696,513/x
  3. Step 3: Cross multiply
    316,047x = 696,513 × 696,513
  4. Step 4: Simplify right side
    316,047x = 485,130,359,169
  5. Step 5: Solve for x
    x = 485,130,359,169/316,047
  6. Step 6: Final answer
    x = 1,534,994.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.