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Finding the Third Proportional to 571,569.50 and 783,746

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Solution

The third proportional to 571,569.50 and 783,746 is: 1,074,686.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,569.50 : 783,746 = 783,746 : x
  2. Step 2: Convert to fraction form
    571,569.50/783,746 = 783,746/x
  3. Step 3: Cross multiply
    571,569.50x = 783,746 × 783,746
  4. Step 4: Simplify right side
    571,569.50x = 614,257,792,516
  5. Step 5: Solve for x
    x = 614,257,792,516/571,569.50
  6. Step 6: Final answer
    x = 1,074,686.09

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.