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Finding the Third Proportional to 287,465 and 604,719

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Solution

The third proportional to 287,465 and 604,719 is: 1,272,102.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,465 : 604,719 = 604,719 : x
  2. Step 2: Convert to fraction form
    287,465/604,719 = 604,719/x
  3. Step 3: Cross multiply
    287,465x = 604,719 × 604,719
  4. Step 4: Simplify right side
    287,465x = 365,685,068,961
  5. Step 5: Solve for x
    x = 365,685,068,961/287,465
  6. Step 6: Final answer
    x = 1,272,102.93

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.