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Finding the Third Proportional to 334,139.50 and 788,510.50

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Solution

The third proportional to 334,139.50 and 788,510.50 is: 1,860,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,139.50 : 788,510.50 = 788,510.50 : x
  2. Step 2: Convert to fraction form
    334,139.50/788,510.50 = 788,510.50/x
  3. Step 3: Cross multiply
    334,139.50x = 788,510.50 × 788,510.50
  4. Step 4: Simplify right side
    334,139.50x = 621,748,808,610.25
  5. Step 5: Solve for x
    x = 621,748,808,610.25/334,139.50
  6. Step 6: Final answer
    x = 1,860,746.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.