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Finding the Third Proportional to 578,027 and 920,547

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Solution

The third proportional to 578,027 and 920,547 is: 1,466,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,027 : 920,547 = 920,547 : x
  2. Step 2: Convert to fraction form
    578,027/920,547 = 920,547/x
  3. Step 3: Cross multiply
    578,027x = 920,547 × 920,547
  4. Step 4: Simplify right side
    578,027x = 847,406,779,209
  5. Step 5: Solve for x
    x = 847,406,779,209/578,027
  6. Step 6: Final answer
    x = 1,466,033.21

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.