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Finding the Third Proportional to 487,749 and 750,646.50

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Solution

The third proportional to 487,749 and 750,646.50 is: 1,155,246.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,749 : 750,646.50 = 750,646.50 : x
  2. Step 2: Convert to fraction form
    487,749/750,646.50 = 750,646.50/x
  3. Step 3: Cross multiply
    487,749x = 750,646.50 × 750,646.50
  4. Step 4: Simplify right side
    487,749x = 563,470,167,962.25
  5. Step 5: Solve for x
    x = 563,470,167,962.25/487,749
  6. Step 6: Final answer
    x = 1,155,246.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.