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Finding the Third Proportional to 370,421 and 553,191.50

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Solution

The third proportional to 370,421 and 553,191.50 is: 826,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,421 : 553,191.50 = 553,191.50 : x
  2. Step 2: Convert to fraction form
    370,421/553,191.50 = 553,191.50/x
  3. Step 3: Cross multiply
    370,421x = 553,191.50 × 553,191.50
  4. Step 4: Simplify right side
    370,421x = 306,020,835,672.25
  5. Step 5: Solve for x
    x = 306,020,835,672.25/370,421
  6. Step 6: Final answer
    x = 826,143.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.