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Finding the Third Proportional to 287,864,397 and 410,264,842.50

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Solution

The third proportional to 287,864,397 and 410,264,842.50 is: 584,710,171.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,864,397 : 410,264,842.50 = 410,264,842.50 : x
  2. Step 2: Convert to fraction form
    287,864,397/410,264,842.50 = 410,264,842.50/x
  3. Step 3: Cross multiply
    287,864,397x = 410,264,842.50 × 410,264,842.50
  4. Step 4: Simplify right side
    287,864,397x = 168,317,240,991,549,792
  5. Step 5: Solve for x
    x = 168,317,240,991,549,792/287,864,397
  6. Step 6: Final answer
    x = 584,710,171.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.