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Finding the Third Proportional to 342,483.75 and 542,281.50

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Solution

The third proportional to 342,483.75 and 542,281.50 is: 858,637.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,483.75 : 542,281.50 = 542,281.50 : x
  2. Step 2: Convert to fraction form
    342,483.75/542,281.50 = 542,281.50/x
  3. Step 3: Cross multiply
    342,483.75x = 542,281.50 × 542,281.50
  4. Step 4: Simplify right side
    342,483.75x = 294,069,225,242.25
  5. Step 5: Solve for x
    x = 294,069,225,242.25/342,483.75
  6. Step 6: Final answer
    x = 858,637.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.