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Finding the Third Proportional to 369,157 and 578,341.50

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Solution

The third proportional to 369,157 and 578,341.50 is: 906,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,157 : 578,341.50 = 578,341.50 : x
  2. Step 2: Convert to fraction form
    369,157/578,341.50 = 578,341.50/x
  3. Step 3: Cross multiply
    369,157x = 578,341.50 × 578,341.50
  4. Step 4: Simplify right side
    369,157x = 334,478,890,622.25
  5. Step 5: Solve for x
    x = 334,478,890,622.25/369,157
  6. Step 6: Final answer
    x = 906,061.35

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.