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Finding the Third Proportional to 294,156 and 621,360

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Solution

The third proportional to 294,156 and 621,360 is: 1,312,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,156 : 621,360 = 621,360 : x
  2. Step 2: Convert to fraction form
    294,156/621,360 = 621,360/x
  3. Step 3: Cross multiply
    294,156x = 621,360 × 621,360
  4. Step 4: Simplify right side
    294,156x = 386,088,249,600
  5. Step 5: Solve for x
    x = 386,088,249,600/294,156
  6. Step 6: Final answer
    x = 1,312,528.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.