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Finding the Third Proportional to 553,421 and 846,190

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Solution

The third proportional to 553,421 and 846,190 is: 1,293,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,421 : 846,190 = 846,190 : x
  2. Step 2: Convert to fraction form
    553,421/846,190 = 846,190/x
  3. Step 3: Cross multiply
    553,421x = 846,190 × 846,190
  4. Step 4: Simplify right side
    553,421x = 716,037,516,100
  5. Step 5: Solve for x
    x = 716,037,516,100/553,421
  6. Step 6: Final answer
    x = 1,293,838.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.