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Finding the Third Proportional to 355,465 and 779,813

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Solution

The third proportional to 355,465 and 779,813 is: 1,710,740.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,465 : 779,813 = 779,813 : x
  2. Step 2: Convert to fraction form
    355,465/779,813 = 779,813/x
  3. Step 3: Cross multiply
    355,465x = 779,813 × 779,813
  4. Step 4: Simplify right side
    355,465x = 608,108,314,969
  5. Step 5: Solve for x
    x = 608,108,314,969/355,465
  6. Step 6: Final answer
    x = 1,710,740.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.