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Finding the Third Proportional to 145,779.75 and 238,045.50

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Solution

The third proportional to 145,779.75 and 238,045.50 is: 388,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,779.75 : 238,045.50 = 238,045.50 : x
  2. Step 2: Convert to fraction form
    145,779.75/238,045.50 = 238,045.50/x
  3. Step 3: Cross multiply
    145,779.75x = 238,045.50 × 238,045.50
  4. Step 4: Simplify right side
    145,779.75x = 56,665,660,070.25
  5. Step 5: Solve for x
    x = 56,665,660,070.25/145,779.75
  6. Step 6: Final answer
    x = 388,707.35

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.