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Finding the Third Proportional to 369,570 and 514,905

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Solution

The third proportional to 369,570 and 514,905 is: 717,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,570 : 514,905 = 514,905 : x
  2. Step 2: Convert to fraction form
    369,570/514,905 = 514,905/x
  3. Step 3: Cross multiply
    369,570x = 514,905 × 514,905
  4. Step 4: Simplify right side
    369,570x = 265,127,159,025
  5. Step 5: Solve for x
    x = 265,127,159,025/369,570
  6. Step 6: Final answer
    x = 717,393.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.