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Finding the Third Proportional to 287,575 and 624,829

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Solution

The third proportional to 287,575 and 624,829 is: 1,357,598.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,575 : 624,829 = 624,829 : x
  2. Step 2: Convert to fraction form
    287,575/624,829 = 624,829/x
  3. Step 3: Cross multiply
    287,575x = 624,829 × 624,829
  4. Step 4: Simplify right side
    287,575x = 390,411,279,241
  5. Step 5: Solve for x
    x = 390,411,279,241/287,575
  6. Step 6: Final answer
    x = 1,357,598.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.