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Finding the Third Proportional to 295,419 and 458,302.50

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Solution

The third proportional to 295,419 and 458,302.50 is: 710,994.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,419 : 458,302.50 = 458,302.50 : x
  2. Step 2: Convert to fraction form
    295,419/458,302.50 = 458,302.50/x
  3. Step 3: Cross multiply
    295,419x = 458,302.50 × 458,302.50
  4. Step 4: Simplify right side
    295,419x = 210,041,181,506.25
  5. Step 5: Solve for x
    x = 210,041,181,506.25/295,419
  6. Step 6: Final answer
    x = 710,994.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.